One quantity as a fraction of another

The Maths Habit

Which bar is half as long as this bar?

This bar
A
B
✓ HalfC

What number goes into both?

6 and 102
15 and 205
9 and 123

The whole
All of it. It goes on the bottom of the fraction.
whole
The part
Some of the whole. It goes on the top of the fraction.
partwhole
Simplest form
The same fraction with the smallest numbers.
610
35

partwhole
1partwhole
2
÷block
÷block
3
  1. 1Put the part over the whole.The whole is the amount after "of". It goes on the bottom.
  2. 2Cut both bars into equal blocks.Pick a number that goes into both. Make blocks that size.
  3. 3Count the blocks.Blocks in the part on top. Blocks in the whole on the bottom.

Write 8 as a fraction of 10.

810
1810
2
÷2
÷2
345
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.

Write 10 as a fraction of 15.

1015
11015
2
÷5
÷5
323
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.

Write 8 as a fraction of 10.

810
1810
2
÷2
÷2
345
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

Write 10 as a fraction of 12.

1012
11012
2
÷2
÷2
356

Write 8 as a fraction of 10.

810
1810
2
÷2
÷2
345
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

Write 5 as a fraction of 15.

515
1515
2
÷5
÷5
313

Write 8 as a fraction of 10.

810
1810
2
÷2
÷2
345
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

Write 6 as a fraction of 15.

615
1615
2
÷3
÷3
325

1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

1Write 2 as a fraction of 10.

210
210
÷2
÷2
15

2Write 15 as a fraction of 25.

1525
1525
÷5
÷5
35

3Write 3 as a fraction of 9.

39
39
÷3
÷3
13

4Write 14 as a fraction of 18.

1418
1418
÷2
÷2
79

What is the whole?

A bag has 20 sweets. 5 of them are red.20 sweets
Sam has 12 pens. 9 of them are black.12 pens
A team plays 15 games. It wins 10 of them.15 games

A class has 25 students. 10 of them walk to school. What fraction of the class walk to school?

1025
11025
2
÷5
÷5
325
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.

A box has 12 eggs. 9 of them are brown. What fraction of the eggs are brown?

912
1912
2
÷3
÷3
334
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.

A class has 25 students. 10 of them walk to school. What fraction of the class walk to school?

1025
11025
2
÷5
÷5
325
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

A team plays 10 games. It wins 6 of them. What fraction of the games does it win?

610
1610
2
÷2
÷2
335

A class has 25 students. 10 of them walk to school. What fraction of the class walk to school?

1025
11025
2
÷5
÷5
325
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

A bag has 15 sweets. 12 of them are red. What fraction of the sweets are red?

1215
11215
2
÷3
÷3
345

A class has 25 students. 10 of them walk to school. What fraction of the class walk to school?

1025
11025
2
÷5
÷5
325
1Put the part over the whole.
2Cut both bars into equal blocks.
3Count the blocks.
1Put the part over the whole.2Cut both bars into equal blocks.3Count the blocks.

Mia has 16 stickers. She gives 10 of them away. What fraction of her stickers does she give away?

1016
11016
2
÷2
÷2
358

One quantity as a fraction of another worksheet, page 1

One quantity as a fraction of another worksheet, page 2

Answer sheet

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

  1. 3 as a fraction of 15 is 153

    Wrong: the whole goes on the bottom. It is 15

  2. 9 as a fraction of 21 is 37

    Right

  3. 8 as a fraction of 10 is 410

    Wrong: cut both bars. It is 45

  4. 10 as a fraction of 25 is 25

    Right

  5. 6 as a fraction of 8 is 34

    Right

  1. Write 45 as a fraction of 30.

    32

  2. Write 40p as a fraction of £1. Hint: £1 = 100p.

    25

  3. Write 20 minutes as a fraction of 1 hour.

    13

  1. Write 10 as a fraction of 14.

    57
    1Put the part overthe whole.2Cut both bars intoequal blocks.3Count the blocks.10141014÷÷

  2. Write 20 as a fraction of 25.

    45
    1Put the part overthe whole.2Cut both bars intoequal blocks.3Count the blocks.2025÷÷

  3. A club has 21 members. 9 of them are girls.
    What fraction of the club are girls?

    37
Exit tickets to print