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. $\frac{p}{A}$

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 $\frac{1}{A}$.
And, to get the reciprocal of a non-zero fraction, we need to interchange the numerator and denominator of that fraction.
For example, $3÷\frac{2}{5}=3\times \frac{1}{\frac{2}{5}}=3\times \frac{5}{2}=\frac{15}{2}.$