College

Complete the sentence to explain how to use mental math to express [tex]$\frac{12}{25}$[/tex] as a percent.

Multiply the numerator and the denominator by 4 to get [tex]$\frac{48}{100}$[/tex], which is the same as 48%.

Answer :

We start with the fraction

$$
\frac{12}{25}.
$$

Our goal is to have a denominator of 100 so that the fraction can be easily interpreted as a percent. Notice that

$$
25 \times 4 = 100.
$$

Thus, we multiply both the numerator and the denominator by 4:

$$
\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100}.
$$

Since a fraction over 100 directly represents its percent value, we conclude that

$$
\frac{12}{25} = 48\%.
$$

In summary, to convert $\frac{12}{25}$ to a percent, we multiply by 4 to obtain $\frac{48}{100}$, which means it is equal to $48\%$.