Fractions⅔ Numerator/Denominator

0r Top Number /Bottom Number

Equivalent FractionsYou can find an equivalent fraction by

multiplying or dividing both numerator and denominator by the same whole number

Example 1: Write 18/24 = ¾

¾ is equivalent to 18/24 Divide the

numerator and denominator by the same whole

number

Equivalent FractionsExample 2: 3/7 = 9/21

3/7 is equivalent to 9/21Examples: 9/10 = 90/? 5/6 = ?/36?/4 = 12/168/? = 72/54

Multiply the numerator

and the denominator by the same

whole number

Ordering fractionsWrite 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

6Step 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 1/610/30 12/30 9/30 5/30

Order FractionsStep 3: Write them in order looking at the

numerators12/30 10/30 9/30 5/30 ( order from

largest)

2/5 1/3 3/10 1/6 ( Write original fractions in order)

Order these FractionPut each of these sets of fractions in order of

size ,smallest first¾ , , 10/12 , 2/32/3, 4/5, 11/15, 5/6¼, 3/8, 1/3

Mixed NumbersExample 1: Write 23/7 as a mixed number23÷ 7 =3 remainder 2Step 1 :do the division

Step 2 :As this is 3 whole ones with 2 left over,Write mixed number as

Mixed Numbers39/4

20/3

17/5

Improper FractionWrite 5⅗ as an improper fraction

Top number is

larger than

bottom number .e.

g. 13/4

Improper FractionWrite these mixed numbers as improper

fractions.4 ⅜

7⅘

3⅚

2⅕

Fraction of an amount1/3 x 27

½ x 500

2/5 of 720

17 x 5/7

5/6 of 1 day

1/7 x 63

2/9 of 729

2/3 of 2kg

1/25 x 1 hour

5/12 x 1 litre

One quantity as a fraction of another1. Write 40p as a fraction of £6

2. In Dina ‘s class there are 13 boys and 14 girls.

What fraction of the class are boys?

Write £6 as 600p and then write 40 over

600.Remember to simplify your

answer

13+14 = 27 students altogether

Try yourself1. 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

Add and Subtract Fractions with same denominators1/5 + 2/5 =

¼ + 2/4 =

3/5 - 1/5 =

3/7 – 1/7 =

Same denominators,

just add or subtract the numerators.

Add and Subtract fraction with different denominatorsWork out 5/8 + 3/7 5/8 ( multiply top and bottom number by

7)

3/7 ( multiply top and bottom number by 8)

More Examples2 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

Try Yourself9/10 + 2/7¾ + 1/95/6 + 3/71 ⅟2 + 2 ⅛7/8 – ¾1/4 -1/204 ⅘ - 3 9/10

Multiply Fractions3/7 x 4/6

1 ⅟2 + 2 ⅛

1: Write any mixed numbers as improper

fraction2: Multiply numerators

together and denominators together.

3:Simplify if possible

More Examples4/6 x 6/7

5/9 x 8/11

2⅘ x 3⅜

Divide FractionsWork out ¼ ÷⅗¼ x5/3 →Turn the second fraction

upside down and multiply

More Examples15/16 ÷ 5

3 ⅟2 ÷ 4⅗ →change mixed numbers to improper fraction

→ Turn the second fraction upside down and multiply

Try Yourself1/3 ÷ 6/71 ÷ 7/127/10 ÷ 2⅘3⅛ ÷ 61⅗ ÷ 5⅔5/8 ÷ 1/32⅛ ÷ 10