Answer :

[tex]\frac{100\frac{1}{2}}{3\frac{3}{4}}=\frac{\frac{201}{2}}{\frac{15}{4}}=\frac{201(4)}{15(2)}=\frac{804}{30}=\frac{402}{15}\frac{\text{miles}}{\text{gallons}}[/tex]

the steps we need to follow to solve this kain of operations are

1. convert the integers to fractions

2. make the operations when you are dividing fractions

- multiply the numerator of the upper fractions with the denominator of the lower fraction that will help you to obtain the numerator of the result

- multiply the denominator of the upper fractions with the numerator of the lower fraction that will help you to obtain the denominator of the result

3. Check if you can simplify