Fractions
Fractions mean Parts
Fractions mean Parts
Parts of Things
a part of this square is red
Fractions mean Parts
Parts of Things
Parts of Time
a part of this square is red
How many hours is 5 periods of Maths?
Two-and-a-half hours
Fractions mean Parts
Parts of Things
Parts of Time
Parts of Work
a part of this square is red
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 / 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 / 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)