Question

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

$0.175$

Short answer

The decimal $0.175$ as a fraction is $\frac{7}{40}$.

Step-by-step solution

Step 1. Given Information.

The decimal is $0.175$.

Step 2. Calculation.

In the decimal $0.175$, 5 is in the thousandth’s place, so the denominator is 1000.

$\begin{array}{c}0.175=\frac{175}{1000}\\ \Rightarrow \frac{7}{40}\text{[simplifyfraction]}\end{array}$

Therefore,

$0.175=\frac{7}{40}$.

Step 3. Conclusion.

The decimal $0.175$ as a fraction is $\frac{7}{40}$.