Question

find the quotient. simplify your answer completely. \\(\frac{\frac{7}{8}}{\frac{1}{4}} = \frac{?}{\square}\\)

Explanation:

Step1: Recall dividing fractions rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{1}{4}$ is $4$. So we have $\frac{7}{8} \div \frac{1}{4} = \frac{7}{8} \times 4$.

Step2: Simplify the multiplication

Multiply the numerators and denominators: $\frac{7\times4}{8}=\frac{28}{8}$. Then simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 4. So $\frac{28\div4}{8\div4}=\frac{7}{2}$.

Answer:

$\frac{7}{2}$