Question

whithout actually dividing find which of the following are terminating decimals
(i)3/25 (ii) 11/18 (iii)13/20 (iv)41/42
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Answer 1

Answer:

(i) & (iii)

Step-by-step explanation:

The denominator of a fraction should have only 2 or 5 or both, so that it becomes a terminating decimal. So, let us see the prime factorisation of all the denominators.

(i) 25 = 5 × 5

3/25 is a terminating decimal.

(ii) 18 = 2 × 3 × 3

11/18 is not a terminating decimal.

(iii) 20 = 2 × 2 × 5

13/20 is a terminating decimal.

(iv) 42 = 2 × 3 × 7

41/42 is not a terminating decimal.