rewrite 4/10 : 1/25 as a unit rate

To rewrite the ratio \( \frac{4}{10} : \frac{1}{25} \) as a unit rate, you can first express it as a fraction:

\[
\frac{4/10}{1/25}
\]

To simplify this calculation, multiply by the reciprocal of the denominator:

\[
\frac{4}{10} \times \frac{25}{1} = \frac{4 \times 25}{10 \times 1} = \frac{100}{10} = 10
\]

Thus, the unit rate is \( 10 \). This means that for every \( 1 \) unit of \( \frac{1}{25} \), there are \( 10 \) units of \( \frac{4}{10} \).