Question

What should be added to $3\frac{7}{15}$ to get $8\frac{1}{5}$ ?

Answer 1

Let $x$ be added to $3\frac{7}{15}$to get $8\frac{1}{5}$

$3\frac{7}{15}+x=8\frac{1}{5}$

$$\begin{gathered} \frac{15\times 3+7}{15}+x=\frac{8\times 5+1}{5} \\ \frac{52}{15}+x=\frac{41}{5} \\ x=\frac{41}{5}-\frac{52}{15} \\ x=\frac{123-52}{15} \\ x=\frac{71}{15} \end{gathered}$$

So $4\frac{11}{15}$ added to $3\frac{7}{15}$to get $8\frac{1}{5}$