Page 97 - Math Genius C5

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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

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 into 6 cups equally. Find
4
the quantity of juice in each cup.
1
Solution: To find the quantity of juice in each cup, we need to divide by 6.
4
1
6
6
We can write 6 as . The multiplicative inverse of = .
1 1 6
1
1
1 ÷ 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 into 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 .
1 3 3 1
So, 15 ÷ = 15 × = 15 × 3 = 45.
3 1
1
Thus, Priya will get 45 pieces of ribbon of m each.
3
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.
nd
nd
st
ts
Rule: 1 fraction ÷ 2 fraction = 1 fraction × Reciprocal of 2 fraction.
1
2
8
2
2
1
Example: ÷ = × Reciprocal of = × 4 = = 2 2
3 4 3 4 3 3 3
Example 4: Divide the following:
4
3
( a) ÷ (b) 14 ÷ 7
7 9 15 25
9
3
4
4
3
Solution: ( a) 3 ÷ = × Reciprocal of = × = 3 × 9 = 27
7 9 7 9 7 4 7 × 4 5 28
2
( b) 14 ÷ 7 = 14 × Reciprocal of 7 = 14 × 25 = 2 × 5 = 10 = 3 1
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.
Mathematics-5 95