Question

Write the fraction as a decimal or the decimal as a fraction.

$\frac{5}{8}$

Short answer

The fraction $\frac{5}{8}$ as a decimal is $0.625$.

Step-by-step solution

Step 1. Given Information.

The fraction is $\frac{5}{8}$.

Step 2. Calculation.

Divide the number 5 by 8.

$\begin{array}{l}80.625\begin{array}{l}5.000\\ \underset{¯}{48}\\ \text{20}\\ \underset{¯}{16}\end{array}\\ 40\\ \underset{¯}{40}\\ \text{0}\end{array}$

The remainder is 0, so the decimal is a terminating decimal.

$\frac{5}{8}=0.625$

Step 3. Conclusion.

The fraction $\frac{5}{8}$ as a decimal is $0.625$.