Fractions of an amount on the bar

The Maths Habit

  1. What fraction of the bar is shaded?

    38

  2. Find 25% of 40.

    4025%25%25%25%1010101010

  3. Work out 27 + 37.

    57

Four friends share these sweets fairly. How many does each friend get? How do you know it is fair?

3 each. Every plate gets the same: equal parts.

Amount
How much there is altogether.
Share
Split into equal parts, the same for each.
Unit fraction
One of the equal parts of a whole.
Non-unit fraction
More than one of the equal parts of a whole.

12333314141414
  1. Bottom number: cut the bar.Cut it into that many equal parts.
  2. Share the amount.Every part gets the same.
  3. Top number: count the parts.Add up the parts you need.

How many parts do you cut the bar into?

15 of 40 5 parts

How many parts do you cut the bar into?

18 of 32 8 parts

Find 15 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 4

20151515151544444

Find 13 of 15. Bottom number: cut the bar. Share the amount. Top number: count the parts. 5

15131313555

Find 15 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 4

20151515151544444

Find 14 of 24. Bottom number: cut the bar. Share the amount. Top number: count the parts. 6

246666

Find 15 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 4

20151515151544444

Find 16 of 18. Bottom number: cut the bar. Share the amount. Top number: count the parts. 3

18316161616161633333

Find 15 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 4

20151515151544444

Find 110 of 50. Bottom number: cut the bar. Share the amount. Top number: count the parts. 5

505555555555

Find 15 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 4

20151515151544444

14 of a number is 6. What is the number? 24

61414141424666

Fractions of an amount on the bar worksheet, page 1

How many parts do you count?

34 of 20 3 parts

How many parts do you count?

25 of 30 2 parts

Find 25 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 8

20151515151544444

Find 34 of 16. Bottom number: cut the bar. Share the amount. Top number: count the parts. 12

16414141414444

Find 25 of 20. Bottom number: cut the bar. Share the amount. Top number: count the parts. 8

20151515151544444

Find 23 of 18. Bottom number: cut the bar. Share the amount. Top number: count the parts. 12

18666

Fractions of an amount on the bar worksheet, page 2

Answer sheet

Thumbs up: it is right. Thumbs down: it is wrong.

  1. 14 of 20 is 5

    Right

  2. 13 of 12 is 3

    Wrong: it is 4

  3. 25 of 10 is 4

    Right

  4. 34 of 8 is 4

    Wrong: it is 6

  5. 110 of 70 is 7

    Right

  1. 15 of a number is 9. What is the number?

    45

  2. Which is more, 34 of 40 or 23 of 60?

    23 of 60 (40 is more than 30)

  3. Find 12 of 36 and 36 of 36. What do you notice?

    Both are 18: 12 = 36

  1. Find 14 of 28.

    7
    28

  2. Find 110 of 50.

    5
    50

  3. Find 35 of 20.

    12
    20
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