The document provides instructions on how to perform operations with fractions such as finding equivalent fractions, ordering fractions, writing mixed numbers as improper fractions and vice versa, calculating fractions of amounts, adding, subtracting, multiplying, and dividing fractions. It includes examples of each type of fraction operation and encourages readers to try problems on their own.

1. ⅔ Numerator/Denominator
0r Top Number /Bottom Number

2. Equivalent Fractions
 You can find an equivalent fraction by multiplying or
dividing both numerator and denominator by the
same whole number
 Example 1: Write 18/24 = ¾
Divide the
 ¾ is equivalent to 18/24 numerator and
denominator by the
same whole number

3. Equivalent Fractions
Example 2: 3/7 = 9/21
Multiply the
3/7 is equivalent to 9/21 numerator and
the
Examples: denominator by
the same whole
 9/10 = 90/? number
 5/6 = ?/36
 ?/4 = 12/16
 8/? = 72/54

4. Ordering fractions
 Write these fractions in order starting with the largest.
1/3 , 2/5 , 3/10, 1/6
 Step 1: Decide on common denominator to use
Find a common multiple of 3,5,10 and 6
 Step 2: Re write the fraction as their equivalent
fractions using 30 as denominator ( make denominator
30 in all fractions)
 1/3 2/5 3/10 1/6
 10/30 12/30 9/30 5/30

5. Order Fractions
 Step 3: Write them in order looking at the numerators
 12/30 10/30 9/30 5/30 ( order from largest)
 2/5 1/3 3/10 1/6 ( Write original fractions in
order)

6. Order these Fraction
 Put each of these sets of fractions in order of size
,smallest first
 ¾ , , 10/12 , 2/3
 2/3, 4/5, 11/15, 5/6
 ¼, 3/8, 1/3

7. Mixed Numbers
 Example 1: Write 23/7 as a mixed number
 23÷ 7 =3 remainder 2
Step 1 :do the division
Step 2 :As this is 3 whole ones with 2 left over,
Write mixed number as

8. Mixed Numbers
 39/4
 20/3
 17/5

9. Improper Fraction
 Write 5⅗ as an improper fraction
Top number
is larger
than bottom
number .e.g.
13/4

10. Improper Fraction
 Write these mixed numbers as improper fractions.
4⅜
 7⅘
 3⅚
 2⅕

11. Fraction of an amount
 1/3 x 27
 ½ x 500
 2/5 of 720
 17 x 5/7
 5/6 of 1 day

12.  1/7 x 63
 2/9 of 729
 2/3 of 2kg
 1/25 x 1 hour
 5/12 x 1 litre

13. One quantity as a fraction of
another Write £6 as 600p
1. Write 40p as a fraction of £6 and then write 40
over 600.
Remember to
simplify your
answer
2. In Dina ‘s class there are 13 boys and 14 girls.
What fraction of the class are boys?
13+14 = 27 students
altogether

14. Try yourself
1. In Polly’s dog training class, three of the dogs pass their
elementary certificate. The other four do not pass. What
fraction of the dogs pass?
2. Donna said, I've got 5 red sweets and 9 blue sweets so the
fraction of my sweets that are red is 5/9.Is Donna correct/
Explain your answer.
3. In each case, write the first quantity as a fraction of the
second,
 20p,£2
 30cm, 1m
 5days, 2 weeks

15. Add and Subtract Fractions with
same denominators
 1/5 + 2/5 =
 ¼ + 2/4 =
Same
denominators, just
add or subtract the
 3/5 - 1/5 = numerators.
 3/7 – 1/7 =

16. Add and Subtract fraction with
different denominators
 Work out 5/8 + 3/7
5/8 ( multiply top and bottom number by 7)
3/7 ( multiply top and bottom number by 8)

17. More Examples
 2 ⅟4 + 3⅟5 ( First add whole numbers. Then add the fractions)
 2+3 =5 and then ⅟4 + ⅕ ( Change both denominators to 20)
⅟4 + ⅕
5/20 + 4/20 = 9/20

18. Try Yourself
 9/10 + 2/7
 ¾ + 1/9
 5/6 + 3/7
 1 ⅟2 + 2 ⅛
 7/8 – ¾
 1/4 -1/20
 4 ⅘ - 3 9/10

19. Multiply Fractions
 3/7 x 4/6 1: Write any mixed numbers as
improper fraction
2: Multiply numerators
together and denominators
together.
3:Simplify if possible
 1 ⅟2 + 2 ⅛

20. More Examples
 4/6 x 6/7
 5/9 x 8/11
 2⅘ x 3⅜

21. Divide Fractions
¼ ÷⅗
 Work out
¼ x5/3 →Turn the second fraction
upside down and multiply

22. More Examples
 15/16 ÷ 5
 3 ⅟2 4⅗ →change mixed numbers to improper fraction
→ Turn the second fraction upside down and multiply

23. Try Yourself
 1/3 ÷ 6/7
 1 ÷ 7/12
 7/10 ÷ 2⅘
 3⅛ 6
 1⅗ 5⅔
 5/8 1/3
 2⅛ 10