Question

Which of the following numbers has the terminal decimal representation?

• A. $\frac{1}{7}$
• B. $\frac{1}{3}$
• C. $\frac{3}{5}$
• D. $\frac{17}{3}$

Answer 1

Answer: (C)

$\frac{3}{5}$

We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example $\frac{1}{4}=0.25$, it has only two decimal digits.

Then,

Option $A$: $\frac{1}{7}=\mathrm{0.1428..}$, non-terminating decimal number.

Option $B$: $\frac{1}{3}=\mathrm{0.3333....}$, non-terminating decimal number.

Option $C$: $\frac{3}{5}=0.6\Rightarrow$ terminating decimal number.

Option $D$: $\frac{17}{3}=\mathrm{5.6666...}$, non-terminating decimal number.

Hence, option $C$ is correct.