Question

Find the smallest positive rational number by which 1/7 should be multiplied so that its decimal expansion terminates after 2 places of decimal.... short and sweet ans plz

Answer 1

7/25 is the smallest positive rational number by which 1/7 should be multiplied so that its decimal expansion terminates after 2 places of decima

Answer 2

Let the number be x
Now
According to question,
X/100 multiplied by 1/7 =0.01
Now solving it,
We get X = 7

So,
If we multiply 7/100with 1/7 than the ans is 0.01 which terminates after 2 decimals