Fraction of an amount

The Maths Habit

Four friends share a bar. Which cut is fair?

ANot equalB✓ FairCOnly 3 parts

Share the sweets equally. How many does each friend get?

12 sweets
3 friends124444 each
10 sweets
2 friends10555 each
30 sweets
10 friends3033333333333 each

Equal parts
Parts that are all the same size.
Denominator
The bottom number of a fraction. It tells you how many equal parts.
15
Numerator
The top number of a fraction. It tells you how many parts you take.
35

amountone part
amount÷bottom=one part
  1. 1Cut the bar.The bottom number tells you how many equal parts.
  2. 2Divide by the bottom.This is one part.

Work out 15 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4

Work out 14 of 12.

1Cut the bar.
123333
2Divide by the bottom.
12÷4=3

Work out 15 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
1amount2amount÷bottom=one part

Work out 13 of 15.

1Cut the bar.
15555
2Divide by the bottom.
15÷3=5

Work out 15 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
1amount2amount÷bottom=one part

Work out 110 of 60.

1Cut the bar.
606666666666
2Divide by the bottom.
60÷10=6

Work out 15 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
1amount2amount÷bottom=one part

Work out 12 of 18.

1Cut the bar.
1899
2Divide by the bottom.
18÷2=9

1amount2amount÷bottom=one part

1Work out 15 of 30.

1Cut the bar.
3066666
2Divide by the bottom.
30÷5=6

2Work out 14 of 16.

1Cut the bar.
164444
2Divide by the bottom.
16÷4=4

3Work out 110 of 80.

1Cut the bar.
808888888888
2Divide by the bottom.
80÷10=8

4Work out 13 of 21.

1Cut the bar.
21777
2Divide by the bottom.
21÷3=7

What fraction of each bar is shaded?

35
34
23

amountone part
amount÷bottom=one part
one part×top=answer
  1. 1Cut the bar.The bottom number tells you how many equal parts.
  2. 2Divide by the bottom.This is one part.
  3. 3Multiply by the top.Shade that many parts. This is the answer.

Work out 35 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
3Multiply by the top.
4×3=12

Work out 23 of 15.

1Cut the bar.
15555
2Divide by the bottom.
15÷3=5
3Multiply by the top.
5×2=10

Work out 35 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
3Multiply by the top.
4×3=12
1amount2amount÷bottom=one part3one part×top=answer

Work out 34 of 20.

1Cut the bar.
205555
2Divide by the bottom.
20÷4=5
3Multiply by the top.
5×3=15

Work out 35 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
3Multiply by the top.
4×3=12
1amount2amount÷bottom=one part3one part×top=answer

Work out 45 of 25.

1Cut the bar.
2555555
2Divide by the bottom.
25÷5=5
3Multiply by the top.
5×4=20

Work out 35 of 20.

1Cut the bar.
2044444
2Divide by the bottom.
20÷5=4
3Multiply by the top.
4×3=12
1amount2amount÷bottom=one part3one part×top=answer

Ali has 18 apples. 56 of them are red. How many are red?

1Cut the bar.
18333333
2Divide by the bottom.
18÷6=3
3Multiply by the top.
3×5=15

Fraction of an amount worksheet, page 1

Fraction of an amount worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 14 of 20 is 5

    Right

  2. 34 of 20 is 5

    Wrong: that is one part

  3. 25 of 10 is 4

    Right

  4. 13 of 9 is 27

    Wrong: divide, do not multiply

  5. 310 of 30 is 9

    Right

  1. 25 of a number is 18. What is the number?

    45

  2. Which is more, 23 of 15 or 34 of 12?

    23 of 15 (10, not 9)

  3. Work out 34 of £10.

    £7.50

  1. Work out 25 of 20.

    8
    1Cut the bar.202Divide bythe bottom.÷=3Multiply bythe top.×=

  2. Work out 34 of 28.

    21
    1Cut the bar.282Divide bythe bottom.÷=3Multiply bythe top.×=

  3. Work out 38 of 40.

    15
Exit tickets to print