Question

Consider the following statements :
1. $\frac{1}{22}$ can not be written as terminating decimal

2. $\frac{2}{15}$ can be written as a terminating decimal

3. $\frac{1}{16}$ can be written as a terminating decimal

Which of the statements given above is/are correct ?

• A. $1$ only
• B. $3$ only
• C. $1$ and $3$
• D. $2$ and $3$

Answer 1

Answer: (C)

$1$ and $3$

$\frac{1}{22}=0.04545454545$ is not a terminating decimal.

$\frac{2}{15}=0.133333333$ is not a terminating decimal.

$\frac{1}{16}=0.0625$ is a terminating decimal.

Hence, statement $1$ and $3$ are correct.