Question

Write each fraction as a percent. Round to the nearest tenth.

$\frac{625}{1024}$

Short answer

The fraction as a percent is $61\%$.

Step-by-step solution

Step 1. Define the concept.

A percent is a ratio that compares a number to 100.

$\frac{a}{b}=\frac{p}{100}$, where$\frac{a}{b}$ is the fraction and p is the percent equivalent of the fraction.

Step 2. Multiply the fraction by 100. 

To find the percent of the fraction, multiply the fraction by 100.

$$\begin{gathered} \frac{625}{1024}=\frac{p}{100} \\ \frac{625}{1024}\times 100=p \end{gathered}$$

Step 3. Simplify for p.

Further simplify the expression.

$$\begin{gathered} p=\frac{62500}{1024} \\ =61\% \end{gathered}$$

Therefore, the fraction as a percent is $61\%$.