This document contains math word problems and worksheets about fractions, including comparing fractions, adding and subtracting fractions, and solving multi-step word problems involving fractions. It provides examples of fractions as parts of wholes or sets, rules for comparing fractions, and step-by-step work showing how to solve fraction addition, subtraction, and word problems. Worked examples are included for arranging fractions in increasing or decreasing order, filling in missing terms, and solving word problems involving calculating fractions of amounts.

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four-operations-worksheets/

3. Grade 3
Session 3

4. 1 2 3 4 5 6
7 8 9 10 11 12
18
17
16
15
14
13
Read the numbers in the yellow box.
You skip count by 2’s

5. 1 2 3 4 5 6
7 8 9 10 11 12
18
17
16
15
14
13
Read the numbers in the pink box.
You skip count by 3’s

6. 1 2 3 4 5 6
7 8 9 10 11 12
18
17
16
15
14
13
Read the numbers in the light green box.
You skip count by 4’s

7. 1 2 3 4 5 6 7
8 9 10 11 12
18
17
16
15
14
13
Read the numbers in the red box.
Skip counting by _________
5’s
18 20 21

8. Even, Odd , Prime and Composite Numbers
1. One is not a prime number nor a composite number.
2. Two is the only even prime number.
3. Not all odd numbers are prime .
Examples: 9, 15, 21, 33 , 27,…
4. All composite numbers can be written as
product of prime numbers.
Remember these:

9. ODD EVEN ODD EVEN ODD EVEN ODD EVEN ODD EVEN
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100

10. I. EVEN and ODD NUMBERS
Give the number/s described below. Your answer can be
more than one
1. The biggest odd number less than 50
2. Odd numbers less than 10
3. Even numbers between 20 and 30
4. Even numbers between 50 and 62

11. 5. Odd: 13, _____, ____, ____,____, 23
6. Even: 80, ____, ____, ____, ____, 90
7. Odd: 91, _____, ____,____,_____,101
8. Even 76,____, ____, ____, _____, 86

12. Fractions

13. A fraction is a part of a whole
A fraction has two parts.
4
3 Numerator tells the number of equal parts
taken or considered
Denominator tells the total number of equal
parts in a whole or set
Three out of 4 are violet.

14. Fractions represent equal parts of a whole or a collection.
Fraction of a collection:
Fractions also represent
parts of a set or collection.
Fraction of a whole:
When we divide a whole
into equal parts, each
part is a fraction of the
whole.
4
3 4
3
Yellow is
Pink is
Blue is
4
1

15. More on fractions
How many are there in each set?
How many are yellow?
What part of each set is yellow?

16. Fractions
Fraction is a part or proportion of something.
It is not a whole number.
Examples of Fractions are:
𝟏
𝟐
one half
𝟏
𝟕
one
seventh
𝟓
𝟖
five
eights

17. Fractions
How many are there in each set?
2 4 4
3
They are our denominators.

18. fractions
How many are yellow?
2 4 4
3
1
They are our numerators.
1 1 3

19. What fraction is represented by the part that is
red?

20. A. What fraction is represented by the shaded
part? Write it in symbols and in words.

21. Answers:
𝟐
𝟒
two fourths
𝟖
𝟏𝟐
𝟏
𝟐
𝟑
𝟕
𝟒
𝟓
four fifths three sevenths one half eight twelfths

22. II B. Below is a set of fruits.
There are 10 fruits in all.
What part of the set are the following:
Number 1 is done for you.
1. papaya 1/12

23. 1. Papaya
𝟏
𝟏𝟐
2. Orange
𝟐
𝟏𝟐
3. avocado
𝟒
𝟏𝟐
4. Mango
𝟒
𝟏𝟐

24. III. Give the correct fraction for each figure.
𝟏
𝟑
𝟓
𝟏𝟓
𝟒
𝟏𝟐
𝟑
𝟗
𝟑
𝟗

25. 𝟏
𝟑
𝟓
𝟏𝟓
𝟒
𝟏𝟐
𝟑
𝟗
𝟑
𝟗
𝟏
𝟑
=
𝟑
𝟗
=
𝟑
𝟗
=
𝟒
𝟏𝟐
=
𝟓
𝟏𝟓
The number of parts are different.
The shaded parts are equal.
In each figure, 1/3 of the whole is shaded.

26. III. Give the correct fraction for each figure.
𝟐
𝟒
𝟗
𝟏𝟖
𝟔
𝟏𝟐
𝟓
𝟏𝟎
𝟒
𝟖
Are the fractions equivalent?

27. COMPARING
FRACTIONS

28. 5
3
Which has more yellow stars?
or
5
3
5
2
or
Which is greater?
Each set has 5 stars.
5
2

29. COMPARING FRACTIONS
We compare two or more fractions
using the following symbols.
Greater
Than
Less than Equal To
> < =
Remember these rules when comparing
fractions
Same Numerator Same Denominator
The smaller
denominator is
the greater
fraction
The larger
numerator is the
greater fraction
7
4
___
7
3
5
3
___
8
3

30. 9
4
___
9
3
IV. Write >, < or = to make the statement true.
7
4
___
7
5
8
3
___
8
7
4
1
___
9
1
1. 2.
3. 4.

31. 4
5
___
7
5
8
6
___
7
5
9
2
___
5
2
8
3
___
2
1
7
2
___
3
2
5
4
___
4
2
5. 6. 7.
8. 9. 10.

32. WANT SOME MORE ?
WANT SOME MORE?
WANT SOME MORE?

33. 7
2
,
7
1
,
7
3
A. Arrange the following fractions in increasing order.
8
5
,
8
4
,
8
3
1. 2.
The denominators are the same, so we
simply compare the numerators.
The fraction with the larger numerator is the
greater fraction.

34. 7
2
,
7
1
,
7
3
8
5
,
8
4
,
8
3
1. 2.
7
3
,
7
2
,
7
1
8
5
,
8
4
,
8
3

35. 3.
9
3
,
9
2
,
9
1
9
2
,
9
1
,
9
3

36. 8
1
,
7
1
,
5
1
4.
The numerators are the same, so we simply
compare the denominators.
The fraction with smaller denominator is the
greater fraction.
5
1
,
7
1
,
8
1
Answer

37. 5.
4
3
,
5
1
,
3
2 The numerators are the different,
denominators are different.
4
3
,
5
1
,
3
2
3
10
4
3
,
5
1
,
3
2
4 15 8 9
4
3
,
5
1
,
3
2
Answer:
4
3
,
3
2
,
5
1
Butterfly method

38. 6.
15
14 9 14 6 10
Answer:
Butterfly method
3
2
,
7
3
,
5
2
3
2
,
7
3
,
5
2
3
2
,
7
3
,
5
2
3
2
,
7
3
,
5
2
3
2
,
7
3
,
5
2

39. 7.
21
18 15 18 15 21
Answer:
Butterfly method
5
3
,
6
3
,
7
3
5
3
,
6
3
,
7
3
5
3
,
6
3
,
7
3
5
3
,
6
3
,
7
3
4
3
,
6
3
,
7
3

40. 9
5
,
3
1
,
4
1
3
2
,
5
1
,
9
4
5
2
,
5
1
,
8
3
8. 9. 10.
3
1
,
4
1
,
9
5
3
2
,
9
4
,
5
1
5
2
,
8
3
,
5
1

41. 7
4
,
7
1
,
7
2
9
4
,
9
1
,
9
2
5
1
,
7
1
,
4
1
7
4
,
3
2
,
4
3
5
2
,
5
1
,
5
3
1. 2. 3.
4. 5.
B. Arrange in decreasing order.
7
1
,
7
2
,
7
4
9
1
,
9
4
,
9
5
7
1
,
5
1
,
3
1
7
4
,
3
2
,
4
3
5
1
,
5
2
,
5
3

42. 12
3
1

15
5
3

10
2
6
 12
4
1

C. Fill in the missing term.
3 X 4 = 12
1 X 4 = 4
4 3 X 3 = 9
5 X 3 = 15
9
2 X 3 = 6
10 X 3 = 30
30
4 X 3 = 12
1 X 3 = 3
3
1.
4.
2.
3.

43. 28
12
3

5
15
12

1
18
3

15
3
5

14
4
2

8
3
2

5. 6. 7.
8. 9. 10.
6
12
1
7
4
7

44. ADDITION AND
SUBTRACTION FOF
FRACTIONS

45. 8
1
8
3

VI. Give the sum or difference.
7
1
7
4

8
4
8
1
3



7
3
7
1
-
4


1.
2.
Denominators
are the same.

46. 5
1
3
2

2
1
6
5

9
5
9
4

9
2
9
5
 2
1
5
2

8
3
4
3

3. 4. 5.
6. 7. 8.

47. 

5
1
3
2
3.
Denominator is 3 x 5 = 15


5
1
3
2
Numerator is 10 + 3 = 13
10 3
15
13
3x5
3
10




48. 4.
Denominator is 6 x 2 = 12
Numerator is 10-6 = 4
10 6
12
4
6x2
6
-
10


2
1
6
5

2
1
6
5


49. 9
5
4 
5.
1
9
9




9
5
9
4

50. 6. 7. 8.
9
3
10
9
32
12
9
2
9
5

2
1
5
2

8
3
4
3


51. VII. Solve the following problems completely.

52. KZ has a weekly allowance of 210 pesos.
a) KZ gave 1/7 of her allowance to KM. How much did
she give to KM?
b) KZ spent of her allowance 2/3 on food. How much
did she spent for food?
c) What part of her allowance had she used?
d) If KC saved the rest of her allowance , what part did
she save?
e) Which is greater the amount she spent or what she
saved?

53. KZ has a weekly allowance of 210 pesos.
a) KZ gave 1/7 of her allowance to KM. How much did she
give to KM?
To get the amount that she gave to KM we have to divided
her money by 7.
210 ÷ 𝟕 = 𝟑𝟎
KZ gave 30 pesos to KM.

54. KZ has a weekly allowance of 210 pesos.
To get the amount that she spent on food, we have to
divided her money by 3, then multiply by 2.
210 ÷ 𝟑 = 𝟕𝟎
KZ spent 140 pesos for food.
b) KZ spent 2/3 of her allowance on food. How much
did she spend for food?
𝟕𝟎 × 𝟐 = 𝟏𝟒𝟎

55. KZ has a weekly allowance of 210 pesos.
To get the part of the allowance she had already used, we
have to add 1/7 and 2/3.
𝟏
𝟕
+
𝟐
𝟑
=
KZ had spent
𝟏𝟕
𝟐𝟏
c) What part of her allowance had she used for KM
and for food?
𝟏
𝟕
+
𝟐
𝟑
=
𝟑+𝟏𝟒
𝟕𝒙𝟑
=
𝟏𝟕
𝟐𝟏
3 14

56. KZ has a weekly allowance of 210 pesos.
To get the part of the allowance she had saved, we have to
subtract 17/21 from 1 or 21/21.
𝟐𝟏
𝟐𝟏
−
𝟏𝟕
𝟐𝟏
=
KZ saved
𝟒
𝟐𝟏
𝟐𝟏
𝟐𝟏
−
𝟏𝟕
𝟐𝟏
=
𝟒
𝟐𝟏
d) If KC saved the rest of her allowance , what part did
she save?

57. KZ has a weekly allowance of 210 pesos.
To get which part is greater, we have to compare
𝟏𝟕
𝟐𝟏
𝒂𝒏𝒅
𝟒
𝟐𝟏
Since the denominators are the same,
𝟏𝟕
𝟐𝟏
is greater . The amount she spent is greater than
what she saved.
e) Which is greater the amount she spent or what
she saved?

58. CHALLENGE
Compute? Am I
right?
What should I
look for?
Is that your
final answer?

59. VIII. CHALLENGE

60. a) What part of the lace did she cut for the border of the
project?_______
b) What part of the lace did she cut for the inside design? _____
c) What part of the lace was given to Kian ?________________
d) What part of the lace did she use for her project? ______________
1. Brielle was using a lace ribbon to decorate her
project. The roll of lace ribbon was 24 meters long.
From the roll she cut 12 meters for the border of the
project and 8 meters long for the inside design . The
rest of the lace was given to Kian.

61. She cut
𝟏𝟐
𝟐𝟒
𝐨𝐫
𝟏
𝟐
of the lace for the border of the project.
1. Brielle was using a lace ribbon to decorate her
project. The roll of lace ribbon was 24 meters long.
From the roll she cut 12 meters for the border of the
project and 8 meters long for the inside design . The
rest of the lace was given to Kian.
a) What part of the lace did she cut for the border of the
project?_______

62. b) What part of the lace did she cut for the inside design? _____
1. Brielle was using a lace ribbon to decorate her
project. The roll of lace ribbon was 24 meters long.
From the roll she cut 12 meters for the border of the
project and 8 meters long for the inside design . The
rest of the lace was given to Kian.
She cut 8 meters from 24 meters , that is
𝟖
𝟐𝟒
or
𝟏
3
for the inside design

63. c) What part of the lace was given to Kian ?________________
1. Brielle was using a lace ribbon to decorate her project. The roll of lace
ribbon was 24 meters long. From the roll she cut 12 meters for the border of
the project and 8 meters long for the inside design . The rest of the lace was
given to Kian.
d) What part of the lace did she use for her project? ______________
After cutting , 12 and 8 meters from the 24 meters, Brielle was
left with only 4 meters. That is
𝟒
𝟐𝟒
𝐨𝐫
𝟏
𝟔
.
She used 12 meters and 8 meters. 𝐓𝐡𝐚𝐭 𝐢𝐬
𝟐𝟎
𝟐𝟒
𝒐𝒓
𝟓
𝟔

64. a) How many cookies were given to his friends?
b) What part of the cookies did each of them receive?
Oman ____ Ven___ Sam ____ XY ________
c) How many cookies were left to Drei? __________
d) What part of the cookies was left to him? ________
2. Drei bought 2 cans of cookies. Each can contained 48 pieces
of cookies. He divided 2/3 of the cookies among his friends.
Oman got 24 , Ven had 16 , Sam and XY got 12 each.

65. a) How many cookies were given to his friends?
2. Drei bought 2 cans of cookies. Each can contained 48 pieces
of cookies. He divided 2/3 of the cookies among his friends.
Oman got 24 , Ven had 16 , Sam and XY got 12 each.
He gave 24 + 16 + 12 + 12 = 64 cookies in all.
b) What part of the cookies did each of them receive?
Oman ____ Ven___ Sam ____ XY ________
Ven got 16;
𝟏𝟔
𝟗𝟔
Oman got 24;
𝟐𝟒
𝟗𝟔
Sam got 12 ;
𝟏𝟐
𝟗𝟔
XY got 12;
𝟏𝟐
𝟗𝟔

66. 2. Drei bought 2 cans of cookies. Each can contained 48 pieces
of cookies. He divided 2/3 of the cookies among his friends.
Oman got 24 , Ven had 16 , Sam and XY got 12 each.
c) How many cookies were left to Drei? __________
Since Drei gave 64 cookies in all, he was left with 96-64 = 32
d) What part of the cookies was left to him? ________
He was left with 96-64 = 32, that is
32
96

67. 3) There was a jar with 150 chips in it. Three
friends ,Jen, Jed and Jack decided to get part of
the chips. Jen got 3/15 of the chips, 5/15 for Jed
and Jack said he got 50 chips . How many chips
were left in the jar?

68. 3) There was a jar with 150 chips in it. Three friends ,Jen, Jed
and Jack decided to get part of the chips. Jen got 3/15 of the
chips, 5/15 for Jed and Jack said he got 50 chips . How many chips
were left in the jar?
Jen got
𝟑
𝟏𝟓
=
𝟑𝟎
𝟏𝟓𝟎
Jed got
𝟓
𝟏𝟓
=
𝟓𝟎
𝟏𝟓𝟎
Jack got 50
They got a total of
30 + 50 + 50 = 130 chips
Then 150 – 130 = 20 chips
Only 20 chips were left in the jar.

69. THANK
YOU!