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Skills VI
Topics:
Exercise Book
Adding and subtracting fractions
Comparing fractions
Mixed numbers and impropers
Fractions of sets
Conversion in decimals
Simplifying fractions
Copyright: Math in English
This workbook is all about fractions and suited for grade 4/5
students. The practice material covers:
- Compare fractions with different denominators that
are multiples of each other
- Simplifying fractions (reduce to lowest terms)
- Adding and subtracting fractions with different
denominators that are multiples of each other
- Conversion of mixed numbers in improper fractions
and vice versa
- Conversion of fractions into decimals and vice versa
(whole decimal numbers/ no rounding off)
This booklet is excellent for any student: for those who are
struggling with fractions, and those who feel the need to
practice more. You can use it in combination with our
worksheets!
Math in English
Comparing Fractions
Copyright: Math in English Page 1
Compare the following fractions by using >, < or =.
4
2
2
1
2
1
3
1
6
3
2
2
8
4
4
2
3
1
9
2
6
2
3
1
5
2
10
2
7
3
6
3
3
1
9
1
4
2
5
2
5
1
10
2
6
3
3
2
9
3
3
2
9
6
3
1
3
2
9
9
3
1
6
0
4
1
8
5
6
2
3
2
3
1
6
4
3
2
9
8
4
2
5
2
3
2
3
1
4
3
8
3
Comparing Fractions
Copyright: Math in English Page 2
Compare the following fractions by using >, < or =.
4
2
8
4
2
1
4
1
6
1
2
1
8
2
4
1
3
2
9
5
6
3
2
1
5
2
10
3
7
2
6
2
3
1
9
2
4
1
5
1
5
2
10
4
6
1
3
2
9
4
3
2
9
4
3
1
2
1
6
6
9
1
3
0
8
1
8
5
6
3
3
2
3
1
6
3
3
1
9
5
4
3
5
3-
3
2
9
2
4
2
8
2
Comparing Fractions
Copyright: Math in English Page 3
Compare the following fractions by using >, < or =.
6
3
2
1
2
1
8
2
6
2
2
1
8
2
4
1
3
2
9
5
6
4
3
2
5
4
10
7
5
3
4
3
3
3
9
8
4
1
5
1
5
3
10
6
6
5
3
3
9
5
3
2
8
6
4
2
3
2
9
9
7
2
6
0
4
2
8
5
8
2
7
2
3
1
2
2
3
2
9
8
4
3
5
3
4
2
4
1
5
3
6
3
Simplifying Fractions
Copyright: Math in English Page 4
Simplify the following fractions (lowest terms)
30 10 28
12
2
= 10
4
= 9
6
= 9
8
=
8
6
= 12
10
= 12
3
= 40
10
=
10
6
= 15
3
= 20
2
= 15
10
=
18
9
= 14
2
= 25
5
= 24
12
=
16
2
= 22
2
= 18
3
= 14
7
=
30
10
= 21
7
= 24
8
= 24
4
=
2
= 6
= 7
= 7
4
=
8
4
= 9
3
= 14
2
=
6
2
= 10
2
= 6
4
=
Copyright: Math in English Page 5
Simplifying Fractions
Simplify the following fractions (lowest terms)
12
4
= 10
6
= 9
3
= 7
4
=
8
4
= 12
8
= 12
6
= 40
20
=
10
2
= 15
6
= 20
4
= 15
12
=
18
6
= 14
6
= 15
5
= 24
16
=
16
8
= 22
4
= 18
15
= 14
8
=
30
20
= 21
3
= 20
8
= 24
8
=
30
3
= 20
6
= 28
2
= 9
7
=
8
6
= 9
6
= 14
4
=
6
3
= 10
4
= 6
2
=
Addition and subtraction of fractions
Copyright: Math in English Page 6
Calculate and show your answers in the lowest terms
6
1
+ 6
1
= 3
2
+ 9
1
=
4
2
+ 8
1
= 5
1
+ 5
1
=
6
1
+ 12
1
= 5
1
+ 10
1
=
3
1
+ 6
2
= 6
1
+ 6
1
= 3
1
+ 12
4
=
4
1
+ 8
4
= 2
1
+ 6
1
= 4
1
+ 20
5
=
5
3
+ 10
2
= 3
1
+ 9
1
= 2
1
+ 8
2
=
6
3
+ 6
1
= 6
3
+ 12
1
= 8
3
+ 8
3
=
8
2
+ 4
2
= 4
1
+ 2
1
= 8
1
+ 8
3
=
20
2
+ 10
4
= 6
4
+ 6
0
= 6
1
+ 3
1
=
12
3
+ 4
1
= 8
5
+ 8
1
= 5
1
+ 10
3
=
Addition and subtraction of fractions
Copyright: Math in English Page 7
Calculate and show your answers in the lowest terms
8
5 - 2
1
= 3
4 - 6
6
=
6
6 - 3
1
= 6
4 - 2
1
=
3
3 - 6
1
= 8
4 - 4
1
=
4
2 - 8
2
= 4
3 - 8
1
= 6
9 - 3
2
=
2
1 - 6
1
= 4
1 - 8
1
= 3
1 - 6
1
=
5
4 - 10
1
= 6
5 - 6
1
= 2
1 - 8
1
=
5
3 - 10
4
= 9
6 - 3
1
= 6
3 - 3
1
=
3
3 - 6
2
= 3
4 - 6
4
= 6
5 - 6
1
=
6
4 - 3
1
= 8
5 - 4
2
= 4
3 - 2
1
=
3
2 - 6
1
= 2
1 - 4
1
= 5
4 - 10
2
=
Addition and subtraction of fractions
Copyright: Math in English Page 8
Calculate and show your answers in the lowest terms
6
2
+ 6
1
= 3
1
+ 9
1
=
4
1
+ 8
1
= 5
2
+ 5
1
=
6
2
+ 12
2
= 5
1
+ 10
3
=
3
1
+ 6
1
= 6
2
+ 6
1
= 3
1
+ 12
2
=
4
1
+ 8
1
= 2
1
+ 6
2
= 5
1
+ 20
4
=
5
2
+ 10
2
= 3
2
+ 9
1
= 2
1
+ 8
1
=
6
1
+ 6
1
= 6
3
+ 12
2
= 8
3
+ 8
1
=
8
1
+ 4
2
= 6
1
+ 2
1
= 8
1
+ 8
5
=
20
4
+ 10
4
= 6
1
+ 6
0
= 3
1
+ 3
1
=
12
6
+ 4
1
= 8
3
+ 8
1
= 5
2
+ 10
1
=
Mixed numbers and improper fractions
Copyright: Math in English Page 9
Convert these mixed numbers into improper fractions.
5
2
5 = 5 6
1
6 = 6 9
2
1 = 9 5
2
2 = 5
8
1
2 = 8 5
2
3 = 5 4
3
5 = 4 8
1
4 = 8
9
2
1 = 9 4
2
2 = 4 6
2
3 = 6 3
2
5 = 3
3
1
2 = 3 6
2
5 = 6 8
1
3 = 8 9
1
1 = 9
5
2
9 = 5 3
2
7 = 3 3
1
5 = 3 7
2
4 = 7
7
2
2 = 7 7
2
1 = 7 8
1
1 = 8 6
1
4 = 6
4
2
5 = 4 4
2
1 = 4 2
1
2 = 2 7
4
3 = 7
8
7
5 = 8 6
2
4 = 6 7
2
2 = 7
6
1
2 = 6 3
1
3 = 3 3
1
1 = 3
Mixed numbers and improper fractions
Copyright: Math in English Page 10
Convert these mixed numbers into improper fractions.
4
2
5 = 5
1
6 = 9
3
1 = 5
3
2 =
6
1
2 = 5
1
3 = 3
3
5 = 8
2
4 =
8
2
1 = 5
2
2 = 5
2
3 = 5
2
5 =
4
1
2 = 3
2
5 = 8
2
3 = 9
2
1 =
4
2
9 = 3
2
7 = 3
1
5 = 8
2
4 =
6
2
2 = 7
2
1 = 7
1
1 = 6
2
4 =
6
2
5 = 3
2
1 = 2
1
3 = 6
4
3 =
7
7
5 = 5
2
4 = 6
2
2 =
5
1
2 = 4
1
3 = 2
1
1 =
Improper fractions and mixed numbers
Copyright: Math in English Page 11
Convert these improper fractions into mixed numbers
=
=
=
=
=
=
=
5
12
8
33
3
17
9
10
7
30
6
25
7
25
=
=
=
=
=
=
=
=
=
5
27
8
17
9
11
3
7
5
47
7
16
4
22
8
47
6
13
=
=
=
=
=
=
=
=
=
6
37
5
17
4
10
6
32
3
23
7
9
4
6
6
26
3
10
=
=
=
=
=
=
=
=
=
9
11
4
23
6
20
8
25
3
16
8
9
2
5
7
16
3
4
Improper fractions and mixed numbers
Copyright: Math in English Page 12
Convert these improper fractions into mixed numbers.
=
=
=
=
=
=
=
6
14
7
29
2
12
9
11
4
18
5
21
6
22
=
=
=
=
=
=
=
=
=
4
22
7
15
8
11
2
5
4
38
4
10
6
32
7
42
5
14
=
=
=
=
=
=
=
=
=
5
31
4
14
6
14
4
22
2
16
5
7
3
5
5
22
4
13
=
=
=
=
=
=
=
=
=
8
10
5
28
7
23
6
19
4
21
7
8
2
3
6
14
5
6
Fractions of a set
Copyright: Math in English Page 13
Calculate these fractions of sets
2
1
of 150 =
3
1
of 60 =
3
1
of 75 =
4
1
of 80 =
2
1
of 100 =
3
1
of 150 =
2
1
of 90 =
2
1
of 180 =
2
1
of 104 =
5
1
of 150 =
3
1
of 90 =
3
1
of 123 =
6
1
of 120 =
10
1
of 150 =
2
1
of 170 =
4
1
of 200 =
2
1
of 110 =
2
1
of 130 =
4
1
of 160 =
2
1
of 70 =
4
1
of 120 =
2
1
of 60 =
3
1
of 180 =
3
1
of 99 =
7
1
of 140 =
4
1
of 200 =
2
1
of 104 =
9
1
of 90 =
6
1
of 180 =
5
1
of 100 =
8
1
of 160 =
3
1
of 120 =
7
1
of 210 =
Fractions of a set
Copyright: Math in English Page 14
Calculate these fractions of sets
2
1
of 100 =
2
1
of 120 =
3
1
of 150 =
2
1
of 140 =
2
1
of 180 =
2
1
of 160 =
5
1
of 150 =
4
1
of 160=
2
1
of 124 =
5
1
of 120 =
3
1
of 180 =
4
1
of 180 =
4
1
of 200 =
4
1
of 320 =
3
1
of 297 =
2
1
of 110 =
3
1
of 210 =
2
1
of 176 =
5
1
of 220 =
6
1
of 120 =
3
1
of 264 =
7
1
of 140 =
8
1
of 160 =
2
1
of 198 =
9
1
of 270 =
5
1
of 250 =
2
1
of 102 =
2
1
of 130 =
7
1
of 280 =
3
1
of 270 =
9
1
of 180 =
6
1
of 240 =
2
1
of 190 =
Copyright: Math in English Page 15
Fractions of a set
What fraction of each set is shaded?
Copyright: Math in English Page 16
Fractions of a set
What fraction of each set is not shaded?
Conversion of Fractions into Decimals
Copyright: Math in English Page 17
Convert these fractions into decimals
100
12
=
10
3
=
4
3
=
10
7
=
5
3
=
4
2
=
100
37
=
10
6
=
50
1
=
25
1
=
20
1
=
10
9
=
50
2
=
25
2
=
20
10
=
25
5
=
100
99
=
10
4
=
100
65
=
25
9
=
200
2
=
50
7
=
100
13
=
10
10
=
2
1
=
10
1
=
4
1
=
100
1
=
20
2
=
100
2
=
100
10
=
5
1
=
100
50
=
10
4
=
Conversion of Fractions into Decimals
Copyright: Math in English Page 18
Convert these fractions into decimals
100
25
=
20
3
=
4
1
=
10
4
=
5
4
=
8
2
=
100
44
=
10
5
=
50
9
=
25
5
=
20
3
=
10
8
=
50
3
=
25
4
=
20
15
=
25
20
=
100
91
=
10
1
=
100
15
=
25
24
=
200
4
=
50
8
=
100
15
=
15
15
=
8
4
=
20
6
=
8
6
=
100
51
=
20
9
=
100
7
=
100
11
=
6
3
=
100
40
=
18
9
=
Conversion of Decimals into Fractions
Copyright: Math in English Page 19
Convert these decimals into fractions (lowest terms!)
= = = =
= = = =
= = = =
= = = =
= = = =
= = = =
= = =
= = =
=
0.12
0.6
0.02
0.04
0.99
0.02
0.5
0.01
0.1 = =
0.75
0.37
0.05
0.15
0.65
0.13
0.45
0.06
0.35 =
0.21
0.85
0.09
0.22
0.36
1.1
0.8
0.7
0.25
0.08
0.16
0.14
0.28
0.3
0.05
0.2
Crossword Puzzle
Copyright: Math in English Page 20
Use your skills and solve this puzzle!
Across Down
2. half of 50 1. three-fourths of 20
4. seven-tenths of 50 2. three-eighths of 64
5. three-fourths of 28 3. one-fifth of 125
8. two-fifths of 30 6. one-sixth of 108
10. four-eights of 40 7. three-sevenths of 49
12. one-third of 96 9. four-fifths of 25
13. one-fourth of 200 10. three-ninthsof 81
16. four-fifths of 30 11. two-fifths of 25
12. six-twentieths of 100
14. one-third of 45
15. four-ninths of 90
17. three-fifths of 20
1
2 16 15
3 14
4 13
5 6 12
7 11
8 9 10
17
Simplifying Fractions
Copyright: Math in English Page 4
Simplify the following fractions (lowest terms)
30 15 10 5 28 4
12
2
= 6
1
10
4
= 5
2
9
6
= 3
2
9
8
= 9
8
8
6
= 4
3
12
10
= 6
5
12
3
= 4
1
40
10
= 4
1
10
6
= 5
3
15
3
= 5
1
20
2
= 10
1
15
10
= 3
2
18
9
= 2
1
14
2
= 7
1
25
5
= 5
1
24
12
= 2
1
16
2
= 8
1
22
2
= 11
1
18
3
= 6
1
14
7
= 2
1
30
10
= 3
1
21
7
= 3
1
24
8
= 3
1
24
4
= 6
1
2
= 1 6
= 3 7
= 1
7
4
= 7
4
8
4
= 2
1
9
3
= 3
1
14
2
= 7
1
6
2
= 3
1
10
2
= 5
1
6
4
= 3
2
Comparing Fractions
Copyright: Math in English Page 1
Compare the following fractions by using >, < or =.
4
2
2
1
2
1
3
1
6
3
2
2
8
4
4
2
3
1
9
2
6
2
3
1
5
2
10
2
7
3
6
3
3
1
9
1
4
2
5
2
5
1
10
2
6
3
3
2
9
3
3
2
9
6
3
1
3
2
9
9
3
1
6
0
4
1
8
5
6
2
3
2
3
1
6
4
3
2
9
8
4
2
5
2
3
2
3
1
4
3
8
3
> >
= >
= >
> <
> =
><
> <
< <
<
=
>
<
<
<
>
Comparing Fractions
Copyright: Math in English Page 2
Compare the following fractions by using >, < or =.
4
2
8
4
2
1
4
1
6
1
2
1
8
2
4
1
3
2
9
5
6
3
2
1
5
2
10
3
7
2
6
2
3
1
9
2
4
1
5
1
5
2
10
4
6
1
3
2
9
4
3
2
9
4
3
1
2
1
6
6
9
1
3
0
8
1
8
5
6
3
3
2
3
1
6
3
3
1
9
5
4
3
5
3-
3
2
9
2
4
2
8
2
> >
= >
= >
> <
> =
><
> <
< <
<
=
>
<
<
<
>
Comparing Fractions
Copyright: Math in English Page 3
Compare the following fractions by using >, < or =.
6
3
2
1
2
1
8
2
6
2
2
1
8
2
4
1
3
2
9
5
6
4
3
2
5
4
10
7
5
3
4
3
3
3
9
8
4
1
5
1
5
3
10
6
6
5
3
3
9
5
3
2
8
6
4
2
3
2
9
9
7
2
6
0
4
2
8
5
8
2
7
2
3
1
2
2
3
2
9
8
4
3
5
3
4
2
4
1
5
3
6
3
> >
= >
= >
> <
> =
><
> <
< <
<
=
>
<
<
<
>
Copyright: Math in English Page 5
Simplifying Fractions
Simplify the following fractions (lowest terms)
12
4
= 3
1
10
6
= 5
3
9
3
= 3
1
7
4
= 7
4
8
4
= 2
1
12
8
= 3
2
12
6
= 2
1
40
20
= 2
1
10
2
= 5
1
15
6
= 5
2
20
4
= 5
1
15
12
= 5
4
18
6
= 3
1
14
6
= 7
3
15
5
= 5
1
24
16
= 3
2
16
8
= 2
1
22
4
= 11
2
18
15
= 6
5
14
8
= 7
4
30
20
= 3
2
21
3
= 7
1
20
8
= 5
2
24
8
= 3
1
30
3
= 10
1
20
6
= 10
3
28
2
= 14
1
9
7
= 9
7
8
6
= 4
3
9
6
= 3
2
14
4
= 7
2
6
3
= 2
1
10
4
= 5
2
6
2
= 3
1
Addition and subtraction of fractions
Copyright: Math in English Page 6
Calculate and show your answers in the lowest terms
6
1
+ 6
1
= 3
1
3
2
+ 9
1
= 9
7
4
2
+ 8
1
= 8
5
5
1
+ 5
1
= 5
2
6
1
+ 12
1
= 4
1
5
1
+ 10
1
= 10
3
3
1
+ 6
2
= 3
2
6
1
+ 6
1
= 3
1
3
1
+ 12
4
= 3
2
4
1
+ 8
4
= 4
3
2
1
+ 6
1
= 3
2
4
1
+ 20
5
= 2
1
5
3
+ 10
2
= 5
4
3
1
+ 9
1
= 9
4
2
1
+ 8
2
= 4
3
6
3
+ 6
1
= 3
2
6
3
+ 12
1
= 12
7
8
3
+ 8
3
= 4
3
8
2
+ 4
2
= 4
3
4
1
+ 2
1
= 4
3
8
1
+ 8
3
= 2
1
20
2
+ 10
4
= 2
1
6
4
+ 6
0
= 3
2
6
1
+ 3
1
= 2
1
12
3
+ 4
1
= 2
1
8
5
+ 8
1
= 4
3
5
1
+ 10
3
= 2
1
Addition and subtraction of fractions
Copyright: Math in English Page 7
Calculate and show your answers in the lowest terms
8
5 - 2
1
= 8
1
3
4 - 6
6
= 3
1
6
6 - 3
1
= 3
2
6
4 - 2
1
= 6
1
3
3 - 6
1
= 6
5
8
4 - 4
1
= 4
1
4
2 - 8
2
= 4
1
4
3 - 8
1
= 8
5
6
9 - 3
2
= 3
2
2
1 - 6
1
= 3
1
4
1 - 8
1
= 8
1
3
1 - 6
1
= 6
1
5
4 - 10
1
= 10
7
6
5 - 6
1
= 3
2
2
1 - 8
1
= 8
3
5
3 - 10
4
= 5
1
9
6 - 3
1
= 3
1
6
3 - 3
1
= 6
1
3
3 - 6
2
= 3
2
3
4 - 6
4
= 3
2
6
5 - 6
1
= 3
2
6
4 - 3
1
= 3
1
8
5 - 4
2
= 8
1
4
3 - 2
1
= 4
1
3
2 - 6
1
= 2
1
2
1 - 4
1
= 4
1
5
4 - 10
2
= 5
3
Addition and subtraction of fractions
Copyright: Math in English Page 8
Calculate and show your answers in the lowest terms
6
2
+ 6
1
= 2
1
3
1
+ 9
1
= 9
4
4
1
+ 8
1
= 8
3
5
2
+ 5
1
= 5
3
6
2
+ 12
2
= 2
1
5
1
+ 10
3
= 2
1
3
1
+ 6
1
= 2
1
6
2
+ 6
1
= 2
1
3
1
+ 12
2
= 2
1
4
1
+ 8
1
= 8
3
2
1
+ 6
2
= 6
5
5
1
+ 20
4
= 5
2
5
2
+ 10
2
= 5
3
3
2
+ 9
1
= 9
7
2
1
+ 8
1
= 8
5
6
1
+ 6
1
= 3
1
6
3
+ 12
2
= 3
2
8
3
+ 8
1
= 2
1
8
1
+ 4
2
= 8
5
6
1
+ 2
1
= 3
2
8
1
+ 8
5
= 4
3
20
4
+ 10
4
= 5
3
6
1
+ 6
0
= 6
1
3
1
+ 3
1
= 3
2
12
6
+ 4
1
= 4
3
8
3
+ 8
1
= 2
1
5
2
+ 10
1
= 2
1
Mixed numbers and improper fractions
Copyright: Math in English Page 9
Convert these mixed numbers into improper fractions.
5
2
5 = 5
27
6
1
6 = 6
37
9
2
1 = 9
11
5
2
2 = 5
12
8
1
2 = 8
17
5
2
3 = 5
17
4
3
5 = 4
23
8
1
4 = 8
33
9
2
1 = 9
11
4
2
2 = 4
10
6
2
3 = 6
20
3
2
5 = 3
17
3
1
2 = 3
7
6
2
5 = 6
32
8
1
3 = 8
25
9
1
1 = 9
10
5
2
9 = 5
47
3
2
7 = 3
23
3
1
5 = 3
16
7
2
4 = 7
30
7
2
2 = 7
16
7
2
1 = 7
9
8
1
1 = 8
9
6
1
4 = 6
25
4
2
5 = 4
22
4
2
1 = 4
6
2
1
2 = 2
5
7
4
3 = 7
25
8
7
5 = 8
47
6
2
4 = 6
26
7
2
2 = 7
16
6
1
2 = 6
13
3
1
3 = 3
10
3
1
1 = 3
4
Improper fractions and mixed numbers
Copyright: Math in English Page 11
Convert these improper fractions into mixed numbers
5
2
5 6
1
6 9
2
1 5
2
2=
8
1
2 5
2
3 4
3
5 8
1
4=
9
2
1 4
2
2 6
2
3 3
2
5=
3
1
2 6
2
5 8
1
3 9
1
1=
5
2
9 3
2
7 3
1
5 7
2
4=
7
2
2 7
2
1 8
1
1 6
1
4=
4
2
5 4
2
1 2
1
2 7
4
3=
5
12
8
33
3
17
9
10
7
30
6
25
7
25
8
7
5 6
2
4 7
2
2
6
1
2
=
=
=
=
=
=
=
=
=
5
27
8
17
9
11
3
7
5
47
7
16
4
22
8
47
6
13
3
1
3
=
=
=
=
=
=
=
=
=
6
37
5
17
4
10
6
32
3
23
7
9
4
6
6
26
3
10
3
1
1
=
=
=
=
=
=
=
=
=
9
11
4
23
6
20
8
25
3
16
8
9
2
5
7
16
3
4
Mixed numbers and improper fractions
Copyright: Math in English Page 10
Convert these mixed numbers into improper fractions.
4
2
5 = 4
22
5
1
6 = 5
31
9
3
1 = 9
12
5
3
2 = 5
13
6
1
2 = 6
13
5
1
3 = 5
16
3
3
5 = 3
18
8
2
4 = 8
34
8
2
1 = 8
10
5
2
2 = 5
12
5
2
3 = 5
17
5
2
5 = 5
27
4
1
2 = 4
9
3
2
5 = 3
17
8
2
3 = 8
26
9
2
1 = 9
11
4
2
9 = 4
38
3
2
7 = 3
23
3
1
5 = 3
16
8
2
4 = 8
34
6
2
2 = 6
14
7
2
1 = 7
9
7
1
1 = 7
8
6
2
4 = 6
26
6
2
5 = 6
32
3
2
1 = 4
5
2
1
3 = 2
7
6
4
3 = 6
22
7
7
5 = 7
42
5
2
4 = 5
22
6
2
2 = 6
14
5
1
2 = 5
11
4
1
3 = 4
13
2
1
1 = 2
3
Improper fractions and mixed numbers
Copyright: Math in English Page 12
Convert these improper fractions into mixed numbers.
4
2
5 5
1
6 8
2
1 6
2
2=
7
1
2 4
2
3 5
3
5 7
1
4=
8
3
1 6
2
2 7
2
3 2
2
5=
2
1
2 4
2
5 6
1
3 9
2
1=
4
2
9 2
2
7 4
1
5 4
2
4=
4
2
2 5
2
1 7
1
1 5
1
4=
6
2
5 3
2
1 2
1
1 6
4
3=
6
14
7
29
2
12
9
11
4
18
5
21
6
22
7
7
5 5
2
4 6
2
2
5
4
2
=
=
=
=
=
=
=
=
=
4
22
7
15
8
11
2
5
4
38
4
10
6
32
7
42
5
14
4
1
3
=
=
=
=
=
=
=
=
=
5
31
4
14
6
14
4
22
2
16
5
7
3
5
5
22
4
13
5
1
1
=
=
=
=
=
=
=
=
=
8
10
5
28
7
23
6
19
4
21
7
8
2
3
6
14
5
6
Fractions of a set
Copyright: Math in English Page 13
Calculate these fractions of sets
2
1
of 150 = 75
3
1
of 60 = 20
3
1
of 75 = 25
4
1
of 80 = 20
2
1
of 100 = 50
3
1
of 150 = 50
2
1
of 90 = 45
2
1
of 180 = 90
2
1
of 104 = 52
5
1
of 150 = 30
3
1
of 90 = 30
3
1
of 123 = 41
6
1
of 120 = 20
10
1
of 150 = 15
2
1
of 170 = 85
4
1
of 200 = 50
2
1
of 110 = 55
2
1
of 130 = 65
4
1
of 160 = 40
2
1
of 70 = 35
4
1
of 120 = 30
2
1
of 60 = 30
3
1
of 180 = 60
3
1
of 99 = 33
7
1
of 140 = 20
4
1
of 200 = 50
2
1
of 104 = 52
9
1
of 90 = 10
6
1
of 180 = 30
5
1
of 100 = 20
8
1
of 160 = 20
3
1
of 120 = 40
7
1
of 210 = 30
Fractions of a set
Copyright: Math in English Page 14
Calculate these fractions of sets
2
1
of 100 = 50
2
1
of 120 = 60
3
1
of 150 = 50
2
1
of 140 = 70
2
1
of 180 = 90
2
1
of 160 = 80
5
1
of 150 = 30
4
1
of 160= 40
2
1
of 124 = 62
5
1
of 120 = 24
3
1
of 180 = 60
4
1
of 180 = 45
4
1
of 200 = 50
4
1
of 320 = 80
3
1
of 297 = 99
2
1
of 110 = 55
3
1
of 210 = 70
2
1
of 176 = 88
5
1
of 220 = 44
6
1
of 120 = 20
3
1
of 264 = 88
7
1
of 140 = 20
8
1
of 160 = 20
2
1
of 198 = 99
9
1
of 270 = 30
5
1
of 250 = 50
2
1
of 102 = 51
2
1
of 130 = 65
7
1
of 280 = 40
3
1
of 270 = 90
9
1
of 180 = 20
6
1
of 240 = 40
2
1
of 190 = 95
Copyright: Math in English Page 15
Fractions of a set
1
3
1
2
2
3
1
3
1
5
1
6
1
4
1
12
What fraction of each set is shaded?
Copyright: Math in English Page 16
Fractions of a set
1
3
1
2
1
3
1
3
1
5
5
6
3
4
7
12
What fraction of each set is not shaded?
Conversion of Fractions into Decimals
Copyright: Math in English Page 17
Convert these fractions into decimals
100
12
= 0.12
10
3
= 0.3
4
3
= 0.75
10
7
= 0.7
5
3
= 0.6
4
2
= 0.5
100
37
= 0.37
10
6
= 0.6
50
1
= 0.02
25
1
= 0.04
20
1
= 0.05
10
9
= 0.9
50
2
= 0.04
25
2
= 0.08
20
10
= 0.5
25
5
= 0.2
100
99
= 0.99
10
4
= 0.4
100
65
= 0.65
25
9
= 0.36
200
2
= 0.01
50
7
= 0.14
100
13
= 0.13
10
10
= 1
2
1
= 0.5
10
1
= 0.1
4
1
= 0.25
100
1
= 0.01
20
2
= 0.1
100
2
= 0.02
100
10
= 0.1
5
1
= 0.2
100
50
= 0.5
10
4
= 0.4
Conversion of Fractions into Decimals
Copyright: Math in English Page 18
Convert these fractions into decimals
100
25
= 0.25
20
3
= 0.15
4
1
= 0.25
10
4
= 0.4
5
4
= 0.8
8
2
= 0.25
100
44
= 0.44
10
5
= 0.5
50
9
= 0.18
25
5
= 0.2
20
3
= 0.15
10
8
= 0.8
50
3
= 0.06
25
4
= 0.16
20
15
= 0.75
25
20
= 0.8
100
91
= 0.91
10
1
= 0.1
100
15
= 0.15
25
24
= 0.96
200
4
= 0.02
50
8
= 0.16
100
15
= 0.15
15
15
= 1
8
4
= 0.5
20
6
= 0.3
8
6
= 0.75
100
51
= 0.51
20
9
= 0.45
100
7
= 0.07
100
11
= 0.11
6
3
= 0.5
100
40
= 0.4
18
9
= 0.5
Conversion of Decimals into Fractions
Copyright: Math in English Page 19
Convert these decimals into fractions (lowest terms!)
= = = =
= = = =
= = = =
= = = =
= = = =
= = = =
= = =
= = =
25
3
5
3
50
1
25
1
100
99
100
2
2
1
100
1
10
1
=
0.12
0.6
0.02
0.04
0.99
0.02
0.5
0.01
0.1
10
7
4
1
25
2
25
4
50
7
25
7
10
3
20
1
5
1
=
4
3
100
37
20
1
20
3
20
13
100
13
20
9
50
3
20
7
=
0.75
0.37
0.05
0.15
0.65
0.13
0.45
0.06
0.35
100
21
20
17
100
9
50
11
25
9
10
11
5
4
=
0.21
0.85
0.09
0.22
0.36
1.1
0.8
0.7
0.25
0.08
0.16
0.14
0.28
0.3
0.05
0.2
Crossword Puzzle
Copyright: Math in English Page 20
Use your skills and solve this puzzle!
Across Down
2. half of 50 1. three-fourths of 20
4. seven-tenths of 50 2. three-eighths of 64
5. three-fourths of 28 3. one-fifth of 125
8. two-fifths of 30 6. one-sixth of 108
10. four-eights of 40 7. three-sevenths of 49
12. one-third of 96 9. four-fifths of 25
13. one-fourth of 200 10. three-ninthsof 81
16. four-fifths of 30 11. two-fifths of 25
12. six-twentieths of 100
14. one-third of 45
15. four-ninths of 90
17. three-fifths of 20

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Ур чадвар 6 Дасгалын ном Математик

  • 1. Skills VI Topics: Exercise Book Adding and subtracting fractions Comparing fractions Mixed numbers and impropers Fractions of sets Conversion in decimals Simplifying fractions
  • 2. Copyright: Math in English This workbook is all about fractions and suited for grade 4/5 students. The practice material covers: - Compare fractions with different denominators that are multiples of each other - Simplifying fractions (reduce to lowest terms) - Adding and subtracting fractions with different denominators that are multiples of each other - Conversion of mixed numbers in improper fractions and vice versa - Conversion of fractions into decimals and vice versa (whole decimal numbers/ no rounding off) This booklet is excellent for any student: for those who are struggling with fractions, and those who feel the need to practice more. You can use it in combination with our worksheets! Math in English
  • 3. Comparing Fractions Copyright: Math in English Page 1 Compare the following fractions by using >, < or =. 4 2 2 1 2 1 3 1 6 3 2 2 8 4 4 2 3 1 9 2 6 2 3 1 5 2 10 2 7 3 6 3 3 1 9 1 4 2 5 2 5 1 10 2 6 3 3 2 9 3 3 2 9 6 3 1 3 2 9 9 3 1 6 0 4 1 8 5 6 2 3 2 3 1 6 4 3 2 9 8 4 2 5 2 3 2 3 1 4 3 8 3
  • 4. Comparing Fractions Copyright: Math in English Page 2 Compare the following fractions by using >, < or =. 4 2 8 4 2 1 4 1 6 1 2 1 8 2 4 1 3 2 9 5 6 3 2 1 5 2 10 3 7 2 6 2 3 1 9 2 4 1 5 1 5 2 10 4 6 1 3 2 9 4 3 2 9 4 3 1 2 1 6 6 9 1 3 0 8 1 8 5 6 3 3 2 3 1 6 3 3 1 9 5 4 3 5 3- 3 2 9 2 4 2 8 2
  • 5. Comparing Fractions Copyright: Math in English Page 3 Compare the following fractions by using >, < or =. 6 3 2 1 2 1 8 2 6 2 2 1 8 2 4 1 3 2 9 5 6 4 3 2 5 4 10 7 5 3 4 3 3 3 9 8 4 1 5 1 5 3 10 6 6 5 3 3 9 5 3 2 8 6 4 2 3 2 9 9 7 2 6 0 4 2 8 5 8 2 7 2 3 1 2 2 3 2 9 8 4 3 5 3 4 2 4 1 5 3 6 3
  • 6. Simplifying Fractions Copyright: Math in English Page 4 Simplify the following fractions (lowest terms) 30 10 28 12 2 = 10 4 = 9 6 = 9 8 = 8 6 = 12 10 = 12 3 = 40 10 = 10 6 = 15 3 = 20 2 = 15 10 = 18 9 = 14 2 = 25 5 = 24 12 = 16 2 = 22 2 = 18 3 = 14 7 = 30 10 = 21 7 = 24 8 = 24 4 = 2 = 6 = 7 = 7 4 = 8 4 = 9 3 = 14 2 = 6 2 = 10 2 = 6 4 =
  • 7. Copyright: Math in English Page 5 Simplifying Fractions Simplify the following fractions (lowest terms) 12 4 = 10 6 = 9 3 = 7 4 = 8 4 = 12 8 = 12 6 = 40 20 = 10 2 = 15 6 = 20 4 = 15 12 = 18 6 = 14 6 = 15 5 = 24 16 = 16 8 = 22 4 = 18 15 = 14 8 = 30 20 = 21 3 = 20 8 = 24 8 = 30 3 = 20 6 = 28 2 = 9 7 = 8 6 = 9 6 = 14 4 = 6 3 = 10 4 = 6 2 =
  • 8. Addition and subtraction of fractions Copyright: Math in English Page 6 Calculate and show your answers in the lowest terms 6 1 + 6 1 = 3 2 + 9 1 = 4 2 + 8 1 = 5 1 + 5 1 = 6 1 + 12 1 = 5 1 + 10 1 = 3 1 + 6 2 = 6 1 + 6 1 = 3 1 + 12 4 = 4 1 + 8 4 = 2 1 + 6 1 = 4 1 + 20 5 = 5 3 + 10 2 = 3 1 + 9 1 = 2 1 + 8 2 = 6 3 + 6 1 = 6 3 + 12 1 = 8 3 + 8 3 = 8 2 + 4 2 = 4 1 + 2 1 = 8 1 + 8 3 = 20 2 + 10 4 = 6 4 + 6 0 = 6 1 + 3 1 = 12 3 + 4 1 = 8 5 + 8 1 = 5 1 + 10 3 =
  • 9. Addition and subtraction of fractions Copyright: Math in English Page 7 Calculate and show your answers in the lowest terms 8 5 - 2 1 = 3 4 - 6 6 = 6 6 - 3 1 = 6 4 - 2 1 = 3 3 - 6 1 = 8 4 - 4 1 = 4 2 - 8 2 = 4 3 - 8 1 = 6 9 - 3 2 = 2 1 - 6 1 = 4 1 - 8 1 = 3 1 - 6 1 = 5 4 - 10 1 = 6 5 - 6 1 = 2 1 - 8 1 = 5 3 - 10 4 = 9 6 - 3 1 = 6 3 - 3 1 = 3 3 - 6 2 = 3 4 - 6 4 = 6 5 - 6 1 = 6 4 - 3 1 = 8 5 - 4 2 = 4 3 - 2 1 = 3 2 - 6 1 = 2 1 - 4 1 = 5 4 - 10 2 =
  • 10. Addition and subtraction of fractions Copyright: Math in English Page 8 Calculate and show your answers in the lowest terms 6 2 + 6 1 = 3 1 + 9 1 = 4 1 + 8 1 = 5 2 + 5 1 = 6 2 + 12 2 = 5 1 + 10 3 = 3 1 + 6 1 = 6 2 + 6 1 = 3 1 + 12 2 = 4 1 + 8 1 = 2 1 + 6 2 = 5 1 + 20 4 = 5 2 + 10 2 = 3 2 + 9 1 = 2 1 + 8 1 = 6 1 + 6 1 = 6 3 + 12 2 = 8 3 + 8 1 = 8 1 + 4 2 = 6 1 + 2 1 = 8 1 + 8 5 = 20 4 + 10 4 = 6 1 + 6 0 = 3 1 + 3 1 = 12 6 + 4 1 = 8 3 + 8 1 = 5 2 + 10 1 =
  • 11. Mixed numbers and improper fractions Copyright: Math in English Page 9 Convert these mixed numbers into improper fractions. 5 2 5 = 5 6 1 6 = 6 9 2 1 = 9 5 2 2 = 5 8 1 2 = 8 5 2 3 = 5 4 3 5 = 4 8 1 4 = 8 9 2 1 = 9 4 2 2 = 4 6 2 3 = 6 3 2 5 = 3 3 1 2 = 3 6 2 5 = 6 8 1 3 = 8 9 1 1 = 9 5 2 9 = 5 3 2 7 = 3 3 1 5 = 3 7 2 4 = 7 7 2 2 = 7 7 2 1 = 7 8 1 1 = 8 6 1 4 = 6 4 2 5 = 4 4 2 1 = 4 2 1 2 = 2 7 4 3 = 7 8 7 5 = 8 6 2 4 = 6 7 2 2 = 7 6 1 2 = 6 3 1 3 = 3 3 1 1 = 3
  • 12. Mixed numbers and improper fractions Copyright: Math in English Page 10 Convert these mixed numbers into improper fractions. 4 2 5 = 5 1 6 = 9 3 1 = 5 3 2 = 6 1 2 = 5 1 3 = 3 3 5 = 8 2 4 = 8 2 1 = 5 2 2 = 5 2 3 = 5 2 5 = 4 1 2 = 3 2 5 = 8 2 3 = 9 2 1 = 4 2 9 = 3 2 7 = 3 1 5 = 8 2 4 = 6 2 2 = 7 2 1 = 7 1 1 = 6 2 4 = 6 2 5 = 3 2 1 = 2 1 3 = 6 4 3 = 7 7 5 = 5 2 4 = 6 2 2 = 5 1 2 = 4 1 3 = 2 1 1 =
  • 13. Improper fractions and mixed numbers Copyright: Math in English Page 11 Convert these improper fractions into mixed numbers = = = = = = = 5 12 8 33 3 17 9 10 7 30 6 25 7 25 = = = = = = = = = 5 27 8 17 9 11 3 7 5 47 7 16 4 22 8 47 6 13 = = = = = = = = = 6 37 5 17 4 10 6 32 3 23 7 9 4 6 6 26 3 10 = = = = = = = = = 9 11 4 23 6 20 8 25 3 16 8 9 2 5 7 16 3 4
  • 14. Improper fractions and mixed numbers Copyright: Math in English Page 12 Convert these improper fractions into mixed numbers. = = = = = = = 6 14 7 29 2 12 9 11 4 18 5 21 6 22 = = = = = = = = = 4 22 7 15 8 11 2 5 4 38 4 10 6 32 7 42 5 14 = = = = = = = = = 5 31 4 14 6 14 4 22 2 16 5 7 3 5 5 22 4 13 = = = = = = = = = 8 10 5 28 7 23 6 19 4 21 7 8 2 3 6 14 5 6
  • 15. Fractions of a set Copyright: Math in English Page 13 Calculate these fractions of sets 2 1 of 150 = 3 1 of 60 = 3 1 of 75 = 4 1 of 80 = 2 1 of 100 = 3 1 of 150 = 2 1 of 90 = 2 1 of 180 = 2 1 of 104 = 5 1 of 150 = 3 1 of 90 = 3 1 of 123 = 6 1 of 120 = 10 1 of 150 = 2 1 of 170 = 4 1 of 200 = 2 1 of 110 = 2 1 of 130 = 4 1 of 160 = 2 1 of 70 = 4 1 of 120 = 2 1 of 60 = 3 1 of 180 = 3 1 of 99 = 7 1 of 140 = 4 1 of 200 = 2 1 of 104 = 9 1 of 90 = 6 1 of 180 = 5 1 of 100 = 8 1 of 160 = 3 1 of 120 = 7 1 of 210 =
  • 16. Fractions of a set Copyright: Math in English Page 14 Calculate these fractions of sets 2 1 of 100 = 2 1 of 120 = 3 1 of 150 = 2 1 of 140 = 2 1 of 180 = 2 1 of 160 = 5 1 of 150 = 4 1 of 160= 2 1 of 124 = 5 1 of 120 = 3 1 of 180 = 4 1 of 180 = 4 1 of 200 = 4 1 of 320 = 3 1 of 297 = 2 1 of 110 = 3 1 of 210 = 2 1 of 176 = 5 1 of 220 = 6 1 of 120 = 3 1 of 264 = 7 1 of 140 = 8 1 of 160 = 2 1 of 198 = 9 1 of 270 = 5 1 of 250 = 2 1 of 102 = 2 1 of 130 = 7 1 of 280 = 3 1 of 270 = 9 1 of 180 = 6 1 of 240 = 2 1 of 190 =
  • 17. Copyright: Math in English Page 15 Fractions of a set What fraction of each set is shaded?
  • 18. Copyright: Math in English Page 16 Fractions of a set What fraction of each set is not shaded?
  • 19. Conversion of Fractions into Decimals Copyright: Math in English Page 17 Convert these fractions into decimals 100 12 = 10 3 = 4 3 = 10 7 = 5 3 = 4 2 = 100 37 = 10 6 = 50 1 = 25 1 = 20 1 = 10 9 = 50 2 = 25 2 = 20 10 = 25 5 = 100 99 = 10 4 = 100 65 = 25 9 = 200 2 = 50 7 = 100 13 = 10 10 = 2 1 = 10 1 = 4 1 = 100 1 = 20 2 = 100 2 = 100 10 = 5 1 = 100 50 = 10 4 =
  • 20. Conversion of Fractions into Decimals Copyright: Math in English Page 18 Convert these fractions into decimals 100 25 = 20 3 = 4 1 = 10 4 = 5 4 = 8 2 = 100 44 = 10 5 = 50 9 = 25 5 = 20 3 = 10 8 = 50 3 = 25 4 = 20 15 = 25 20 = 100 91 = 10 1 = 100 15 = 25 24 = 200 4 = 50 8 = 100 15 = 15 15 = 8 4 = 20 6 = 8 6 = 100 51 = 20 9 = 100 7 = 100 11 = 6 3 = 100 40 = 18 9 =
  • 21. Conversion of Decimals into Fractions Copyright: Math in English Page 19 Convert these decimals into fractions (lowest terms!) = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 0.12 0.6 0.02 0.04 0.99 0.02 0.5 0.01 0.1 = = 0.75 0.37 0.05 0.15 0.65 0.13 0.45 0.06 0.35 = 0.21 0.85 0.09 0.22 0.36 1.1 0.8 0.7 0.25 0.08 0.16 0.14 0.28 0.3 0.05 0.2
  • 22. Crossword Puzzle Copyright: Math in English Page 20 Use your skills and solve this puzzle! Across Down 2. half of 50 1. three-fourths of 20 4. seven-tenths of 50 2. three-eighths of 64 5. three-fourths of 28 3. one-fifth of 125 8. two-fifths of 30 6. one-sixth of 108 10. four-eights of 40 7. three-sevenths of 49 12. one-third of 96 9. four-fifths of 25 13. one-fourth of 200 10. three-ninthsof 81 16. four-fifths of 30 11. two-fifths of 25 12. six-twentieths of 100 14. one-third of 45 15. four-ninths of 90 17. three-fifths of 20 1 2 16 15 3 14 4 13 5 6 12 7 11 8 9 10 17
  • 23. Simplifying Fractions Copyright: Math in English Page 4 Simplify the following fractions (lowest terms) 30 15 10 5 28 4 12 2 = 6 1 10 4 = 5 2 9 6 = 3 2 9 8 = 9 8 8 6 = 4 3 12 10 = 6 5 12 3 = 4 1 40 10 = 4 1 10 6 = 5 3 15 3 = 5 1 20 2 = 10 1 15 10 = 3 2 18 9 = 2 1 14 2 = 7 1 25 5 = 5 1 24 12 = 2 1 16 2 = 8 1 22 2 = 11 1 18 3 = 6 1 14 7 = 2 1 30 10 = 3 1 21 7 = 3 1 24 8 = 3 1 24 4 = 6 1 2 = 1 6 = 3 7 = 1 7 4 = 7 4 8 4 = 2 1 9 3 = 3 1 14 2 = 7 1 6 2 = 3 1 10 2 = 5 1 6 4 = 3 2 Comparing Fractions Copyright: Math in English Page 1 Compare the following fractions by using >, < or =. 4 2 2 1 2 1 3 1 6 3 2 2 8 4 4 2 3 1 9 2 6 2 3 1 5 2 10 2 7 3 6 3 3 1 9 1 4 2 5 2 5 1 10 2 6 3 3 2 9 3 3 2 9 6 3 1 3 2 9 9 3 1 6 0 4 1 8 5 6 2 3 2 3 1 6 4 3 2 9 8 4 2 5 2 3 2 3 1 4 3 8 3 > > = > = > > < > = >< > < < < < = > < < < > Comparing Fractions Copyright: Math in English Page 2 Compare the following fractions by using >, < or =. 4 2 8 4 2 1 4 1 6 1 2 1 8 2 4 1 3 2 9 5 6 3 2 1 5 2 10 3 7 2 6 2 3 1 9 2 4 1 5 1 5 2 10 4 6 1 3 2 9 4 3 2 9 4 3 1 2 1 6 6 9 1 3 0 8 1 8 5 6 3 3 2 3 1 6 3 3 1 9 5 4 3 5 3- 3 2 9 2 4 2 8 2 > > = > = > > < > = >< > < < < < = > < < < > Comparing Fractions Copyright: Math in English Page 3 Compare the following fractions by using >, < or =. 6 3 2 1 2 1 8 2 6 2 2 1 8 2 4 1 3 2 9 5 6 4 3 2 5 4 10 7 5 3 4 3 3 3 9 8 4 1 5 1 5 3 10 6 6 5 3 3 9 5 3 2 8 6 4 2 3 2 9 9 7 2 6 0 4 2 8 5 8 2 7 2 3 1 2 2 3 2 9 8 4 3 5 3 4 2 4 1 5 3 6 3 > > = > = > > < > = >< > < < < < = > < < < >
  • 24. Copyright: Math in English Page 5 Simplifying Fractions Simplify the following fractions (lowest terms) 12 4 = 3 1 10 6 = 5 3 9 3 = 3 1 7 4 = 7 4 8 4 = 2 1 12 8 = 3 2 12 6 = 2 1 40 20 = 2 1 10 2 = 5 1 15 6 = 5 2 20 4 = 5 1 15 12 = 5 4 18 6 = 3 1 14 6 = 7 3 15 5 = 5 1 24 16 = 3 2 16 8 = 2 1 22 4 = 11 2 18 15 = 6 5 14 8 = 7 4 30 20 = 3 2 21 3 = 7 1 20 8 = 5 2 24 8 = 3 1 30 3 = 10 1 20 6 = 10 3 28 2 = 14 1 9 7 = 9 7 8 6 = 4 3 9 6 = 3 2 14 4 = 7 2 6 3 = 2 1 10 4 = 5 2 6 2 = 3 1 Addition and subtraction of fractions Copyright: Math in English Page 6 Calculate and show your answers in the lowest terms 6 1 + 6 1 = 3 1 3 2 + 9 1 = 9 7 4 2 + 8 1 = 8 5 5 1 + 5 1 = 5 2 6 1 + 12 1 = 4 1 5 1 + 10 1 = 10 3 3 1 + 6 2 = 3 2 6 1 + 6 1 = 3 1 3 1 + 12 4 = 3 2 4 1 + 8 4 = 4 3 2 1 + 6 1 = 3 2 4 1 + 20 5 = 2 1 5 3 + 10 2 = 5 4 3 1 + 9 1 = 9 4 2 1 + 8 2 = 4 3 6 3 + 6 1 = 3 2 6 3 + 12 1 = 12 7 8 3 + 8 3 = 4 3 8 2 + 4 2 = 4 3 4 1 + 2 1 = 4 3 8 1 + 8 3 = 2 1 20 2 + 10 4 = 2 1 6 4 + 6 0 = 3 2 6 1 + 3 1 = 2 1 12 3 + 4 1 = 2 1 8 5 + 8 1 = 4 3 5 1 + 10 3 = 2 1 Addition and subtraction of fractions Copyright: Math in English Page 7 Calculate and show your answers in the lowest terms 8 5 - 2 1 = 8 1 3 4 - 6 6 = 3 1 6 6 - 3 1 = 3 2 6 4 - 2 1 = 6 1 3 3 - 6 1 = 6 5 8 4 - 4 1 = 4 1 4 2 - 8 2 = 4 1 4 3 - 8 1 = 8 5 6 9 - 3 2 = 3 2 2 1 - 6 1 = 3 1 4 1 - 8 1 = 8 1 3 1 - 6 1 = 6 1 5 4 - 10 1 = 10 7 6 5 - 6 1 = 3 2 2 1 - 8 1 = 8 3 5 3 - 10 4 = 5 1 9 6 - 3 1 = 3 1 6 3 - 3 1 = 6 1 3 3 - 6 2 = 3 2 3 4 - 6 4 = 3 2 6 5 - 6 1 = 3 2 6 4 - 3 1 = 3 1 8 5 - 4 2 = 8 1 4 3 - 2 1 = 4 1 3 2 - 6 1 = 2 1 2 1 - 4 1 = 4 1 5 4 - 10 2 = 5 3 Addition and subtraction of fractions Copyright: Math in English Page 8 Calculate and show your answers in the lowest terms 6 2 + 6 1 = 2 1 3 1 + 9 1 = 9 4 4 1 + 8 1 = 8 3 5 2 + 5 1 = 5 3 6 2 + 12 2 = 2 1 5 1 + 10 3 = 2 1 3 1 + 6 1 = 2 1 6 2 + 6 1 = 2 1 3 1 + 12 2 = 2 1 4 1 + 8 1 = 8 3 2 1 + 6 2 = 6 5 5 1 + 20 4 = 5 2 5 2 + 10 2 = 5 3 3 2 + 9 1 = 9 7 2 1 + 8 1 = 8 5 6 1 + 6 1 = 3 1 6 3 + 12 2 = 3 2 8 3 + 8 1 = 2 1 8 1 + 4 2 = 8 5 6 1 + 2 1 = 3 2 8 1 + 8 5 = 4 3 20 4 + 10 4 = 5 3 6 1 + 6 0 = 6 1 3 1 + 3 1 = 3 2 12 6 + 4 1 = 4 3 8 3 + 8 1 = 2 1 5 2 + 10 1 = 2 1
  • 25. Mixed numbers and improper fractions Copyright: Math in English Page 9 Convert these mixed numbers into improper fractions. 5 2 5 = 5 27 6 1 6 = 6 37 9 2 1 = 9 11 5 2 2 = 5 12 8 1 2 = 8 17 5 2 3 = 5 17 4 3 5 = 4 23 8 1 4 = 8 33 9 2 1 = 9 11 4 2 2 = 4 10 6 2 3 = 6 20 3 2 5 = 3 17 3 1 2 = 3 7 6 2 5 = 6 32 8 1 3 = 8 25 9 1 1 = 9 10 5 2 9 = 5 47 3 2 7 = 3 23 3 1 5 = 3 16 7 2 4 = 7 30 7 2 2 = 7 16 7 2 1 = 7 9 8 1 1 = 8 9 6 1 4 = 6 25 4 2 5 = 4 22 4 2 1 = 4 6 2 1 2 = 2 5 7 4 3 = 7 25 8 7 5 = 8 47 6 2 4 = 6 26 7 2 2 = 7 16 6 1 2 = 6 13 3 1 3 = 3 10 3 1 1 = 3 4 Improper fractions and mixed numbers Copyright: Math in English Page 11 Convert these improper fractions into mixed numbers 5 2 5 6 1 6 9 2 1 5 2 2= 8 1 2 5 2 3 4 3 5 8 1 4= 9 2 1 4 2 2 6 2 3 3 2 5= 3 1 2 6 2 5 8 1 3 9 1 1= 5 2 9 3 2 7 3 1 5 7 2 4= 7 2 2 7 2 1 8 1 1 6 1 4= 4 2 5 4 2 1 2 1 2 7 4 3= 5 12 8 33 3 17 9 10 7 30 6 25 7 25 8 7 5 6 2 4 7 2 2 6 1 2 = = = = = = = = = 5 27 8 17 9 11 3 7 5 47 7 16 4 22 8 47 6 13 3 1 3 = = = = = = = = = 6 37 5 17 4 10 6 32 3 23 7 9 4 6 6 26 3 10 3 1 1 = = = = = = = = = 9 11 4 23 6 20 8 25 3 16 8 9 2 5 7 16 3 4 Mixed numbers and improper fractions Copyright: Math in English Page 10 Convert these mixed numbers into improper fractions. 4 2 5 = 4 22 5 1 6 = 5 31 9 3 1 = 9 12 5 3 2 = 5 13 6 1 2 = 6 13 5 1 3 = 5 16 3 3 5 = 3 18 8 2 4 = 8 34 8 2 1 = 8 10 5 2 2 = 5 12 5 2 3 = 5 17 5 2 5 = 5 27 4 1 2 = 4 9 3 2 5 = 3 17 8 2 3 = 8 26 9 2 1 = 9 11 4 2 9 = 4 38 3 2 7 = 3 23 3 1 5 = 3 16 8 2 4 = 8 34 6 2 2 = 6 14 7 2 1 = 7 9 7 1 1 = 7 8 6 2 4 = 6 26 6 2 5 = 6 32 3 2 1 = 4 5 2 1 3 = 2 7 6 4 3 = 6 22 7 7 5 = 7 42 5 2 4 = 5 22 6 2 2 = 6 14 5 1 2 = 5 11 4 1 3 = 4 13 2 1 1 = 2 3 Improper fractions and mixed numbers Copyright: Math in English Page 12 Convert these improper fractions into mixed numbers. 4 2 5 5 1 6 8 2 1 6 2 2= 7 1 2 4 2 3 5 3 5 7 1 4= 8 3 1 6 2 2 7 2 3 2 2 5= 2 1 2 4 2 5 6 1 3 9 2 1= 4 2 9 2 2 7 4 1 5 4 2 4= 4 2 2 5 2 1 7 1 1 5 1 4= 6 2 5 3 2 1 2 1 1 6 4 3= 6 14 7 29 2 12 9 11 4 18 5 21 6 22 7 7 5 5 2 4 6 2 2 5 4 2 = = = = = = = = = 4 22 7 15 8 11 2 5 4 38 4 10 6 32 7 42 5 14 4 1 3 = = = = = = = = = 5 31 4 14 6 14 4 22 2 16 5 7 3 5 5 22 4 13 5 1 1 = = = = = = = = = 8 10 5 28 7 23 6 19 4 21 7 8 2 3 6 14 5 6
  • 26. Fractions of a set Copyright: Math in English Page 13 Calculate these fractions of sets 2 1 of 150 = 75 3 1 of 60 = 20 3 1 of 75 = 25 4 1 of 80 = 20 2 1 of 100 = 50 3 1 of 150 = 50 2 1 of 90 = 45 2 1 of 180 = 90 2 1 of 104 = 52 5 1 of 150 = 30 3 1 of 90 = 30 3 1 of 123 = 41 6 1 of 120 = 20 10 1 of 150 = 15 2 1 of 170 = 85 4 1 of 200 = 50 2 1 of 110 = 55 2 1 of 130 = 65 4 1 of 160 = 40 2 1 of 70 = 35 4 1 of 120 = 30 2 1 of 60 = 30 3 1 of 180 = 60 3 1 of 99 = 33 7 1 of 140 = 20 4 1 of 200 = 50 2 1 of 104 = 52 9 1 of 90 = 10 6 1 of 180 = 30 5 1 of 100 = 20 8 1 of 160 = 20 3 1 of 120 = 40 7 1 of 210 = 30 Fractions of a set Copyright: Math in English Page 14 Calculate these fractions of sets 2 1 of 100 = 50 2 1 of 120 = 60 3 1 of 150 = 50 2 1 of 140 = 70 2 1 of 180 = 90 2 1 of 160 = 80 5 1 of 150 = 30 4 1 of 160= 40 2 1 of 124 = 62 5 1 of 120 = 24 3 1 of 180 = 60 4 1 of 180 = 45 4 1 of 200 = 50 4 1 of 320 = 80 3 1 of 297 = 99 2 1 of 110 = 55 3 1 of 210 = 70 2 1 of 176 = 88 5 1 of 220 = 44 6 1 of 120 = 20 3 1 of 264 = 88 7 1 of 140 = 20 8 1 of 160 = 20 2 1 of 198 = 99 9 1 of 270 = 30 5 1 of 250 = 50 2 1 of 102 = 51 2 1 of 130 = 65 7 1 of 280 = 40 3 1 of 270 = 90 9 1 of 180 = 20 6 1 of 240 = 40 2 1 of 190 = 95 Copyright: Math in English Page 15 Fractions of a set 1 3 1 2 2 3 1 3 1 5 1 6 1 4 1 12 What fraction of each set is shaded? Copyright: Math in English Page 16 Fractions of a set 1 3 1 2 1 3 1 3 1 5 5 6 3 4 7 12 What fraction of each set is not shaded?
  • 27. Conversion of Fractions into Decimals Copyright: Math in English Page 17 Convert these fractions into decimals 100 12 = 0.12 10 3 = 0.3 4 3 = 0.75 10 7 = 0.7 5 3 = 0.6 4 2 = 0.5 100 37 = 0.37 10 6 = 0.6 50 1 = 0.02 25 1 = 0.04 20 1 = 0.05 10 9 = 0.9 50 2 = 0.04 25 2 = 0.08 20 10 = 0.5 25 5 = 0.2 100 99 = 0.99 10 4 = 0.4 100 65 = 0.65 25 9 = 0.36 200 2 = 0.01 50 7 = 0.14 100 13 = 0.13 10 10 = 1 2 1 = 0.5 10 1 = 0.1 4 1 = 0.25 100 1 = 0.01 20 2 = 0.1 100 2 = 0.02 100 10 = 0.1 5 1 = 0.2 100 50 = 0.5 10 4 = 0.4 Conversion of Fractions into Decimals Copyright: Math in English Page 18 Convert these fractions into decimals 100 25 = 0.25 20 3 = 0.15 4 1 = 0.25 10 4 = 0.4 5 4 = 0.8 8 2 = 0.25 100 44 = 0.44 10 5 = 0.5 50 9 = 0.18 25 5 = 0.2 20 3 = 0.15 10 8 = 0.8 50 3 = 0.06 25 4 = 0.16 20 15 = 0.75 25 20 = 0.8 100 91 = 0.91 10 1 = 0.1 100 15 = 0.15 25 24 = 0.96 200 4 = 0.02 50 8 = 0.16 100 15 = 0.15 15 15 = 1 8 4 = 0.5 20 6 = 0.3 8 6 = 0.75 100 51 = 0.51 20 9 = 0.45 100 7 = 0.07 100 11 = 0.11 6 3 = 0.5 100 40 = 0.4 18 9 = 0.5 Conversion of Decimals into Fractions Copyright: Math in English Page 19 Convert these decimals into fractions (lowest terms!) = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = 25 3 5 3 50 1 25 1 100 99 100 2 2 1 100 1 10 1 = 0.12 0.6 0.02 0.04 0.99 0.02 0.5 0.01 0.1 10 7 4 1 25 2 25 4 50 7 25 7 10 3 20 1 5 1 = 4 3 100 37 20 1 20 3 20 13 100 13 20 9 50 3 20 7 = 0.75 0.37 0.05 0.15 0.65 0.13 0.45 0.06 0.35 100 21 20 17 100 9 50 11 25 9 10 11 5 4 = 0.21 0.85 0.09 0.22 0.36 1.1 0.8 0.7 0.25 0.08 0.16 0.14 0.28 0.3 0.05 0.2 Crossword Puzzle Copyright: Math in English Page 20 Use your skills and solve this puzzle! Across Down 2. half of 50 1. three-fourths of 20 4. seven-tenths of 50 2. three-eighths of 64 5. three-fourths of 28 3. one-fifth of 125 8. two-fifths of 30 6. one-sixth of 108 10. four-eights of 40 7. three-sevenths of 49 12. one-third of 96 9. four-fifths of 25 13. one-fourth of 200 10. three-ninthsof 81 16. four-fifths of 30 11. two-fifths of 25 12. six-twentieths of 100 14. one-third of 45 15. four-ninths of 90 17. three-fifths of 20