Getting Familiar with Fractions

Fractions

Fractions mean Parts


Parts of Things

a part of this square is red


Parts of Things

Parts of Time


How many hours is 5 periods of Maths?

Two-and-a-half hours


Parts of Things

Parts of Time

Parts of Work


How many hours is 5 periods of Maths?

Two-and-a-half hours

Phew...

I worked so much and stillthree-quarters of my work is left!

1 = 1 / 1 (whole)

1 / 1 (whole)1 / 2 (half)

1 / 1 (whole)1 / 2 (half)1 / 2 (half)

1 / 1 (whole)1 / 2 (half)1 / 2 (half)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 2 (half)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 2 (half)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)BIG

small

1 / 1 (whole)1 / 3 (one-third)1 / 2 (half)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)BIG

small

16

15

14

13

12

11

11 / 31 / 21 / 41 / 51 / 6

0

1

2

3

- 3

- 2

- 1

can we fit these inthe number line?

11 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

11 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

11 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

11 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 whole

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 2 (one-half)

1 / 2

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 2 (one-half)

1 / 2

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 2 (one-half)

1 / 2

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 3 (one-third)

1 / 2

1 / 3

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 3 (one-third)

1 / 2

1 / 3

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 3 (one-third)

1 / 2

1 / 3

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 4 (one-fourth)

1/2

1/3

1 / 4

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 4 (one-fourth)

1/2

1/3

1 / 4

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 4 (one-fourth)

1/2

1/3

1 / 4

whole1 / 31 / 21 / 41 / 51 / 6

0

1

- 1

2

- 2

1 / 4 (one-fourth)

1/2

1/3

1 / 4

These are all fractions of 1

Fractions of 1

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 2 (half)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 2 (half)1 / 3 (one-third)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)



1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 2 (half)1 / 3 (one-third)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 2 (half)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 3 (one-third)

1 / 1 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)2 / 3 (two-thirds)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 3 (one-third)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)2 / 3 (two-thirds)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)1 / 4(one-fourth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 4(one-fourth)

1 / 1 (whole)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)2 / 4(two-fourths)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)2 / 4(two-fourths)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)3 / 4(three-fourths)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 4(one-fourth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)3 / 4(three-fourths)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)1 / 5(one-fifth)1 / 6(one-sixth)

1 / 1 (whole)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)2 / 5(two-fifths)1 / 6(one-sixth)

1 / 1 (whole)1 / 5(one-fifth)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)3 / 5(three-fifths)1 / 6(one-sixth)

1 / 1 (whole)1 / 5(one-fifth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)4 / 5(four-fifths)1 / 6(one-sixth)

1 / 1 (whole)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)1 / 6(one-sixth)

1 / 1 (whole)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)1 / 6(one-sixth)

1 / 1 (whole)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)2 / 6(two-sixths)

1 / 1 (whole)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)3 / 6(three-sixths)

1 / 1 (whole)1 / 6(one-sixth)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)4 / 6(four-sixths)

1 / 1 (whole)1 / 6(one-sixth)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)5 / 6(five-sixths)

1 / 1 (whole)2 / 2 (whole)3 / 3 (whole)4 / 4 (whole)5 / 5 (whole)6 / 6 (whole)

Fractions of other Numbers

0

- 4

8

- 8

1 / 4 of 8

4

1

2

3

5

6

7

0

- 4

8

- 8

1 / 4 of 8

4

1

2

3

5

6

7

whole

0

- 4

8

- 8

1 / 4 of 8

4

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

- 4

8

- 8

1 / 4 of 8

4

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

4

- 4

8

- 8

1 / 4 of 8 = 2

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

- 4

8

- 8

3 / 4 of 8

4

1

2

3

5

6

7

0

4

- 4

8

- 8

1 / 4 of 8 = 2

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

4

- 4

8

- 8

2 / 4 of 8 = 4

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

4

- 4

8

- 8

3 / 4 of 8 = 6

1

2

3

5

6

7

1 / 41 / 41 / 41 / 4

0

4

- 4

8

- 8

3 / 4 of 8 = 6

1

2

3

5

6

7

3 / 41 / 4

0

4

- 4

8

- 8

2 / 3 of 6

1

2

3

5

6

7

0

4

- 4

8

- 8

2 / 3 of 6

1

2

3

5

6

7

whole

0

4

- 4

8

- 8

1

2

3

5

6

7

1 / 31 / 31 / 32 / 3 of 6

0

4

- 4

8

- 8

1

2

3

5

6

7

1 / 31 / 31 / 32 / 3 of 6

0

4

- 4

8

- 8

1

2

3

5

6

7

1 / 31 / 31 / 32 / 3 of 6

0

4

- 4

8

- 8

1

2

3

5

6

7

2 / 31 / 32 / 3 of 6 = 4

How much is one-half of 10 cm?

How much is one-third of 9 cm?

How much is one-fifth of 15 cm?

How much is one-sixth of 12 cm?

How much is one-fourth of 12 cm?

How much is one-half of 10 cm?

How much is one-third of 9 cm?

How much is one-fifth of 15 cm?

How much is one-sixth of 12 cm?

How much is one-fourth of 12 cm?

5 cm

3 cm

3 cm

2 cm

3 cm

Activity

1. Fold the paper into half along its length.2. Fold into half along the length twice.3. Open the paper to get 8 equal strips. Cut along the folds.4. Keep one strip on the table and write 1 (whole) on it.5. Fold another strip into half and cut along the fold. Write 1/2 on one of them.6. Fold the other half into half again and cut it out. Write 1/4 on each part.6. Fold the second strip into 3 equal parts and cut them out.7. Write 1/3 on the first part.8. Fold the second part into half and cut it out. Write 1/6 on each part.9. Fold the third part into 3 parts and cut them out. Write 1/9 on each.10. Arrange the parts on each other by aligning along the left edges.

1 / 1 (whole)1 / 2 (half)1 / 2 (half)1 / 2 + 1 / 2 = 1

1 / 1 (whole)1 / 2 (half)1 / 2 (half)1 / 2 + 1 / 2 = 1

2 times 1 / 2 = 2 x 1 / 2 = 1

or

1 / 1 (whole)1 / 3 + 1 / 3 + 1 / 3 = 1

1 / 3 (one-third)1 / 3 (one-third)1 / 3 (one-third)

1 / 1 (whole)1 / 3 + 1 / 3 + 1 / 3 = 1

3 times 1 / 3 = 3 x 1 / 3 = 1

or

1 / 3 (one-third)1 / 3 (one-third)1 / 3 (one-third)

1 / 1 (whole)1 / 4 + 1 / 4 + 1 / 4 + 1 / 4 = 1

1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)

1 / 1 (whole)1 / 4 + 1 / 4 + 1 / 4 + 1 / 4 = 1

4 times 1 / 4 = 4 x 1 / 4 = 1

or

1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)1 / 4(one-fourth)

1 / 1 (whole)1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 1

1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)

1 / 1 (whole)1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 + 1 / 5 = 1

5 times 1 / 5 = 5 x 1 / 5 = 1

or

1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)1 / 5(one-fifth)

1 / 1 (whole)1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 = 1

1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)

1 / 1 (whole)1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 + 1 / 6 = 1

6 times 1 / 6 = 6 x 1 / 6 = 1

or

1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)1 / 6(one-sixth)

Education

Getting Familiar with Fractions