Question

In the following exercises, write each decimal as a fraction.

$-0.375$

Short answer

The fraction form of the given decimal number is$-\frac{3}{8}$.

Step-by-step solution

Step 1. Given information.

The given decimal number is$-0.375$.

Step 2. Convert the number to fraction form.

We convert decimals into fractions by identifying the place value of the last (farthest right) digit.

In the decimal $-0.375$the 5 is in the thousandth place, so 1000 is the denominator of the fraction equivalent to $-0.375$.

$\begin{array}{rcl}-0.375& =& -\frac{375}{1000}\\ & =& -\frac{125\times 3}{125\times 8}\\ & =& -\frac{3}{8}\end{array}$

Step 3. Conclusion.

The fraction form of the given decimal number is$-\frac{3}{8}$.