Question

Which of the following is non- terminating and repeating decimal ?

• A.
  $\frac{6}{40}$
• B.
  $\frac{15}{200}$
• C.
  $\frac{7}{18}$
• D.
  $\frac{7}{250}$

Answer 1

The correct option is C

$\frac{7}{18}$
$\frac{6}{40}=\frac{3}{20}=\frac{3}{2^2\times 5}\text{is a Terminating Decimal}\frac{15}{200}=\frac{3}{40}=\frac{3}{2^3\times 5}\text{is a Terminating Decimal}\frac{7}{18}=\frac{7}{2\times 3^2}\text{is a Non-terminating and repeating Decimal}\frac{7}{250}=\frac{7}{5^3\times 2}\text{is a Terminating Decimal}$

So, option c is correct.