Question

The smallest number by which ⅓ should be multiplied so that its decimal expansion will terminate after one decimal place is

Answer 1

Step-by-step explanation:

Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non - negative integers. Then x has a decimal expansion which terminates. So 1/3 should be multiplied by 3/10 so that it is in the form of 2n5m

Answer 2

Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non - negative integers. Then x has a decimal expansion which terminates. So 1/3 should be multiplied by 3/10 so that it is in the form of 2n5m