Question

Multiply $4\frac{3}{7}$ by $3\frac{1}{2}$ and divide the result by $4\frac{1}{7}?$

Answer 1

Step 1: First we have to multiply $4\frac{3}{7}$ by $3\frac{1}{2}$

$$\begin{gathered} =4\frac{3}{7}\times 3\frac{1}{2} \\ \Rightarrow \frac{31}{7}\times \frac{7}{2}=\frac{31\times 7}{7\times 2} \\ =\frac{31}{2} \end{gathered}$$ $($∵ dividing numerator and denominator by $7)$

Step 2 : Divide $\frac{31}{2}$ by $4\frac{1}{7}$

$$\begin{gathered} =\frac{31}{2}÷\frac{29}{7} \\ =\frac{31}{2}\times \frac{7}{29} \\ \Rightarrow \frac{217}{58}=3\frac{43}{58} \end{gathered}$$