Question

By what number should $6\frac{2}{9}$ be multiplied to get $4\frac{4}{9}$?

Answer 1

Let the required number be x.

According to the question:

$$\begin{gathered} 6\frac{2}{9}\times x=4\frac{4}{9} \\ \frac{(6\times 9)+2}{9}\times x=\frac{(4\times 9)+4}{9} \\ \frac{56}{9}\times x=\frac{40}{9} \\ x=\frac{40}{\cancel{9}}\times \frac{\cancel{9}}{56} \\ x=\frac{40}{56}=\frac{5}{7} \end{gathered}$$