Page 33 - Maths Skills - 7

Fractions and Decimals 31

Let’s Attempt

3 1
Example 1: Simplify: 3 ÷ 5
10 2
3 1
Solution: 3 ÷ 5
10 2
33 11
= ÷ [Convert the mixed fractions into improper fractions]
10 2

33 3 2 1 11 2
= × [ Q Reciprocal of is ]
10 5 11 1 2 11
3 × 1 3
= =
5 × 1 5
1
Example 2: The total length of cloth used in 5 aprons of equal size is 7 metres. What is the length of cloth
7
used in each apron?
1 50
Solution: Total length of cloth = 7 m = m
7 7
No. of aprons made = 5
50 50 10 1 10 3
\ Length of cloth used in each apron = m ÷ 5 = m × = m = 1 m
7 7 5 1 7 7

Exercise 2.3

1. Divide.

15 2 3
(i) by 5 (ii) 7 by (iii) by 3
17 5 2
9 3 21
(iv) 18 by (v) 6 by (vi) by 9
7 2 16
2. Simplify.
1 2 1 11 1
(i) 10 ÷ 4 (ii) 2 ÷ (iii) 63 ÷ 9
2 3 5 15 7

3 5 3 6 3 1
(iv) 1 ÷ (v) ÷ (vi) 2 ÷ 4
7 19 28 25 5 3
3. Sahil has 1 kg 500 g of sugar. He requires to divide this quantity into three equal parts. What will be
quantity of sugar in each part?
1
4. A shopkeeper sold chocolates worth ` 143. If each chocolate costs ` 6 , how many chocolates did he sell?
2
1 1
5. A tin container can hold 2 litres of oil. If each small container can hold litres of oil, how many such
4
2
small containers can be filled with the oil from the given tin container?
1 1
6. By what number should 30 be multiplied to get 1 ?
8 3
7. If the product of two numbers is 33 , and one number is 11 , find the other number.
6 75 5
8. Find the number if of a number is 24.
5