Question

karas family is thinking to know the gas mileage of the van. $3\frac{3}{4}=\frac{15}{4}$ what is the unit rate in miles per gallon? $\frac{\frac{15}{4}}{\frac{1}{5}}=\square$

Explanation:

Step1: Recall dividing fractions rule

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{\frac{15}{4}}{\frac{1}{5}}=\frac{15}{4}\times\frac{5}{1}\)

Step2: Multiply the numerators and denominators

Multiply the numerators: \(15\times5 = 75\) and multiply the denominators: \(4\times1=4\). So we get \(\frac{75}{4}\)

Step3: Convert to mixed number (if needed) or decimal

\(\frac{75}{4}=18\frac{3}{4}=18.75\)

Answer:

\(\frac{75}{4}\) (or \(18\frac{3}{4}\) or \(18.75\))