Question

Choose the correct decimal representation of $\frac{5}{24}.$

• A. $0.2083$
• B. $0.\overline{2083}$
• C. $0.208\overline{3}.$

Answer 1

The correct option is C $0.208\overline{3}.$

Let's divide $5$ by $24$ using long division.
$\therefore \frac{5}{24}=\mathrm{0.20833...}$
It is a non-terminating and repeating decimal number.
Here, the digit $3$ in the ten-thousandths place gets repeated.
$\mathrm{0.20833...}$ can be represented as $0.208\overline{3}.$