​ The product of two fractions is 9(3/5). If one of the fractions is 9(3/7), find the other. ​

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

Product of two fractions \(=9\frac{3}{5}\)

First fraction \(=9\frac{3}{7}\)

Second fraction = Product of two fractions \(\div\) First fraction

\(=9\frac{3}{5}\div9\frac{3}{7}\)

\(=\frac{48}{5}\div\frac{66}{7}\)

\(=\frac{48}{5}\times\frac{7}{66}\)

\(=\frac{336}{330}\)

\(=\frac{56}{55}\)

\(=1\frac{1}{55}\)

Second fraction \(=1\frac{1}{55}\)