Question

Find.$4\frac{3}{7}÷7$

Answer 1

Find.$4\frac{3}{7}÷7$

First, the reciprocal of$7=\frac{1}{7}$

$$\begin{gathered} 4\frac{3}{7}÷7=\frac{(7\times 4+3)}{7}\times \frac{1}{7} \\ =\frac{31}{7}\times \frac{1}{7} \\ =\frac{31\times 1}{7\times 7} \\ =\frac{31}{49} \\ \therefore 4\frac{3}{7}÷7=\frac{31}{49} \end{gathered}$$