Page 98 - Math Genius C5

E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_04
\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

1 3
Solution: To find the number of shirts, we need to divide 2 by .
4 4
3
1 3 9 3 9 3 9 4 9 × 4 1 3 × 1 3
2 ÷ = ÷ = × Reciprocal of = × = = = = 3
4 4 4 4 4 4 4 3 4 × 3 1 1 × 1 1
1
1
Thus, using 2 m of cloth, Rohan can make 3 shirts.
4

practice time 4E

1. Find the multiplicative inverse of:
( a) 11 (b) 3 ( c) 3 ( d) 4 ( e) 14
7 5 9 19

( f) 18 ( g) 2 ( h) 24 ( i) 44 ( j) 20
40 9 30 33 5
2. Divide the following.

3
8
( a) ÷ 6 (b) 6 ÷ 12 (c) 16 ÷ 8 (d) ÷ 10
6 10 20 9
( e) 3 ÷ 5 ( f) 7 ÷ 9 ( g) 8 ÷ 4 ( h) 15 ÷ 3
7 11 9 5
3. Find the quotient of the following in the lowest term.

( a) ÷ 3 1 ( b) ÷ 4 1 ( c) ÷ 2 3 ( d) 3 ÷ 6
7 7 9 9 5 5 10 10
3 2 1 1 1 1 4 5
( e) ÷ ( f) 3 ÷ 2 ( g) 5 ÷ 5 ( h) 1 ÷ 2
8 15 3 10 3 5 10 8
1
4. A rope of length of 8 m has been cut into 15 equal pieces. What is the length of
each piece of rope? 3
1
5. Aanaya had a 3 m long ribbon. If she divided it equally among 3 friends, how much
2
did each one get?
2
6. The cost of 5 kg of apples is `680. Find the cost of 1 kg of apples.
3
1 3
7. How many kg boxes of chocolates can be made with 1 kg of chocolates?
5 5

Logical Thinking
Mental Maths
Fill in the blanks.

1. The product of a proper fraction and an improper fraction is _________ than the
improper fraction.
2. The two fractions whose product is _____ are called the reciprocal of each other.
3
3. The product of two fractions is 12. If one of them is , then the other is _______.
4
4. The product of two proper fractions is _________ than each of the fractions.

96 Mathematics-5