Question

the numerator of a fraction is 4 less than its denominator. if the numerator is decreased by 1,
the fraction become 2/3 find the fraction.

Answer 1

Let x be the denominator, then
$x - 4 - 1 \div x = 2 \div 3$
On solving,
$x - 5 = 2x \div 3$
$3x - 15 = 2x$
$x = 15$
Here's the answer