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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_04
\\November 22, 2023 3:12 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

1 3
Solution: To find the number of shirts, we need to divide 2 by .
4 4
3
9
4
3
3
3
9
9
1
2 ÷ = ÷ = × Reciprocal of = × = 9 × 4 1 = 3 × 1
4 4 4 4 4 4 4 3 4 × 3 1 1 × 1
1
= 3 = 3
1
Thus, using 2 m of cloth, Rohan can make 3 shirts. 1
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 terms.
2
3
4
(a) ÷ 1 (b) ÷ 1 (c) ÷ 3 (d) 3 ÷ 6
7 7 9 9 5 5 10 10
1
3
1
(e) ÷ 2 (f) 3 ÷ 2 1 (g) 5 ÷ 5 1 (h) 1 4 ÷ 2 5
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 3 m long ribbon. If she divided it equally among 3 friends,
2
how much 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 it?
5 5

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.

98 Mathematics-5