Question

The product of two fractions is $9\frac{3}{5}.$ If one of the fractions is $9\frac{3}{7},$ find the other.

Answer 1

Let the other fraction be x.

Now, we have:

$$\begin{gathered} 9\frac{3}{7}\times x=9\frac{3}{5} \\ \Rightarrow x=9\frac{3}{5}÷9\frac{3}{7} \\ =\left(9+\frac{3}{5}\right)÷\left(9+\frac{3}{7}\right) \\ =\frac{48}{5}÷\frac{66}{7} \\ =\frac{48}{5}\times \frac{7}{66} \\ =\frac{48\times 7}{5\times 66} \\ =\frac{336}{330} \\ =\frac{56}{55} \\ =1\frac{1}{55} \end{gathered}$$
Hence, the other fraction is $1\frac{1}{55}$.