If the product of two fractions is $\frac{1 2}{5}$ and their quotient is $\frac{3}{5}$ , then the sum of two fractions is _________.

Question

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Answer 1

Let fractions by $x & y$
$x u = \frac{1 2}{5} \to (1) \frac{x}{y} = \frac{3}{5} \to (2)$
Multiplying $(1) & (2)$
$x y \times \frac{x}{y} = \frac{1 2}{5} \times \frac{3}{5} x^{2} = \frac{3 6}{2 5}, x = \frac{3 6}{2 5} = \frac{6}{5} y = \frac{1 2}{5} \div \frac{6}{5} = \frac{1 2}{5} \times \frac{5}{6} = \frac{2}{1}$

Answer 2

Let fractions by

x & y

x u = \frac{1 2}{5} \to (1) \frac{x}{y} = \frac{3}{5} \to (2)

Multiplying

(1) & (2)

x y \times \frac{x}{y} = \frac{1 2}{5} \times \frac{3}{5} x^{2} = \frac{3 6}{2 5}, x = \frac{3 6}{2 5} = \frac{6}{5} y = \frac{1 2}{5} \div \frac{6}{5} = \frac{1 2}{5} \times \frac{5}{6} = \frac{2}{1}