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Example 7: Solve the following.

2 3 4 5 1
(a) 2 × 1 (b) 1 × 10 × 1 Knowledge Desk
3 5 5 9 2 1. The product of two proper
2 3 8 8 88 64 4
×
Solution: (a) 2 × 1 = × = = = 4 fractions is always less than
×
3 5 3 5 35 15 15 each of the two fractions.
1 19 2. The product of two improper
4 5 1 9 95 3
(b) 1 × 10 × 1 = × × fractions is always greater than
5 9 2 5 9 2 each of the two fractions.
1 1
×
1 19 3 1193 57 1
×
= × × = = = 28
1 1 2 11 2 2 2
××
Quick Check
3 2
1. Solve × . Out of all three fractions which one is greater?
4 7
13 15
2. Solve × . Out of all three fractions which one is greater?
12 2

Practice Time 2B

1. What is the value of:
3 2
(a) of 6 dozen of bananas? (b) of `225?
4 3
4 1
(c) of 1 year? (d) of 10 m ribbon?
5 5
2. Evaluate the following fractions:
(a) 7 of 81 (b) 9 of 5 (c) 14 1 of 5 (d) 6 2 of 7
9 3 2 7
(e) 18 1 of 12 (f) 13 1 of 93
4 3
3. Find the product of the following fractions:
(a) 4 × 1 (b) 5 × 16 (c) 410 21 (d) 14 11 2
×
×
2 4 24 7
(e) 12 2 × 4 (f) 11 × 91 (g) 7 × 9 (h) 1 × 2
3 121 9 3 3 5
2
1
1
1 7
(i) 6 × 7 1 (j) 7 × 3 1 (k) 9 × 20 × 4 (l) 4 ×× 1 1
7 2 5 4 5 3 9 7 9 3
4. Simplify the following:
1
3
1
3
3
1
(a) 2 × 4 × 1 (b) 1 × 2 × 3 1 (c) 1 3 ×× 5 (d) 7 × 3 × 14 × 7
48
2 6 9 5 3 19 6 9 7 7
1 3
5. Find the cost of 2 m cloth at the rate of `215 per metre.
2 4
2 1
6. Rohan used 3 bags of soil for his garden. He is digging another garden that will need as much
5 5
soil as the original. How much soil will he use in total?
37 Fractions and Decimals