Question

Match the division statements with their equivalent multiplication statements using their reciprocals.

• A. $4\times \frac{2}{1}$
• B. $5\times \frac{4}{1}$
• C. $3\times \frac{4}{3}$

Answer 1

To change the expression $5÷\frac{1}{4}$ into multiplcation statements, we have to find the reciprocal of $\frac{1}{4}$.

Reciprocal of $\frac{1}{4}$ = $\frac{4}{1}$

Hence, $5÷\frac{1}{4}$ = $5\times \frac{4}{1}$

To change the expression $3÷\frac{3}{4}$ into multiplcation statements, we have to find the reciprocal of $\frac{3}{4}$.

Reciprocal of $\frac{3}{4}$ = $\frac{4}{3}$

Hence, $3÷\frac{3}{4}$ = $3\times \frac{4}{3}$

To change the expression $4÷\frac{1}{2}$ into multiplcation statements, we have to find the reciprocal of $\frac{1}{2}$.

Reciprocal of $\frac{1}{2}$ = $\frac{2}{1}$

Hence, $4÷\frac{1}{2}$ = $4\times \frac{2}{1}$