Question

Division of a whole number $p$ by a fraction $A$ is the same as multiplying $p$ by ___.

• A. $A$
• B. $\frac{1}{A}$
• C. $\frac{1}{p}$
• D. $\frac{1}{\frac{1}{A}}$

Answer 1

The correct option is B $\frac{1}{A}$

Division of a whole number $p$ by a fraction $A$ is the same as multiplying the whole number by the reciprocal of $A$, which is $\frac{1}{A}$.
For example, $2÷\frac{3}{4}=2\times \frac{1}{\frac{3}{4}}=2\times \frac{4}{3}=\frac{8}{3}.$