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1 1
(c) 12 ÷ = 12 × Reciprocal of = 12 × 9 = 108
9 9
2 2 5 75 1
(d) 15 ÷ = 15 × Reciprocal of = 15 × = = 37
5 5 2 2 2
1
Example 2: Anita has L of orange juice. She wants to pour it in 6 cups equally. Find the
4
quantity of juice in each cup.
1
Solution: To find the quantity of juice in each cup, we need to divide by 6.
4
6
6
We can write 6 as . The multiplicative inverse of = 1
1 1 6
1
1
1
So, ÷ 6 = × = 1 × 1 = 1
4 4 6 4 × 6 24
Thus, each cup has 1 L of juice.
24
1
Example 3: Priya has a ribbon of 15 m. She wants to cut it in equal pieces of m each.
3
How many pieces of ribbon will Priya get?
1
Solution: To find the number of pieces of ribbon, we need to divide 15 by .
3
1
3
The multiplicative inverse of is .
3
1
1
3
So, 15 ÷ = 15 × = 15 × 3 = 45.
3 1
Thus, Priya can get 45 pieces of equal length of ribbon.
Dividing a Fraction by Another Fraction

To divide a fraction by another fraction, we multiply the first fraction with the reciprocal

of the second fraction.
Rule: 1 fraction ÷ 2 fraction = 1 fraction × Reciprocal of the 2 fraction.
ts
nd
st
nd
2 1 2 1 2 8 2
Example: ÷ = × Reciprocal of = × 4 = = 2
3 4 3 4 3 3 3
Example 4: Divide the following:
4
3
(a) ÷ (b) 14 ÷ 7
7 9 15 25
4
9
3
3
4
Solution: (a) 3 ÷ = × Reciprocal of = × = 3 × 9 = 27
7 9 7 9 7 4 7 × 4 28
2 5
14 7 14 7 14 25 2 × 5 10 1
(b) ÷ = × Reciprocal of = × = = = 3
15 25 15 25 15 3 7 1 3 × 1 3 3
3
Example 5: Rohan uses m of cloth to stitch a shirt. How many shirts can he make with
4
1
2 m of cloth?
4
Teacher’s Discuss with children that when a whole number is divided by a unit fraction, the result is again a whole
Tip number. Conversely, when a unit fraction is divided by a whole number, the result is again a unit fraction.

98 Mathematics-5