Question

Solve the following:

$7\frac{6}{9}-4\frac{2}{5}$

Answer 1

Step 1 - Convert mixed fraction to improper fraction

$$\begin{gathered} \Rightarrow 7\frac{6}{9}-4\frac{2}{5} \\ \Rightarrow \frac{7\times 9+6}{9}-\frac{4\times 5+2}{5} \\ \Rightarrow \frac{63+6}{9}-\frac{20+2}{5} \\ \Rightarrow \frac{69}{9}-\frac{22}{5} \end{gathered}$$

Step 2 - Convert into like fraction and solve

$$\begin{gathered} \Rightarrow \frac{69}{9}-\frac{22}{5} \\ \Rightarrow \frac{69\times 5}{9\times 5}-\frac{22\times 9}{5\times 9} \\ \Rightarrow \frac{345}{45}-\frac{198}{45} \\ \Rightarrow \frac{345-198}{45} \\ =\frac{147}{45} \end{gathered}$$

Hence, the solution of $7\frac{6}{9}-4\frac{2}{5}$is $\frac{147}{45}$.