Question

Numerator and denominator of a fraction are in the ratio of 3: 5. If 4 is subtracted from the numerator, it reduces to 1/5 . Find the fraction.
Please solve in detail . (Do not write any thing for points write only if you know answer)​

Answer 1

$\frac{3x - 4}{5x} = \frac{1}{5}$

cross multiplication method

$5(3x - 4) = 5x$

$15x - 20 = 5x$

$15x - 5x = 20$

$10x = 20$

$x = \frac{20}{10}$

$x = 2$

$\frac{3x}{5x } = \frac{3 \times 2}{5 \times 2}$

$\frac{6}{10}$

$\frac{6}{10} \div \frac{2}{2} = \frac{3}{5}$

simplified answer is 3/5

not simplified answer is 6/10