Question

The numerator of a fraction is 5 less than its denominator. If 1 is added to the numerator and the denominator the new fraction is 2/3 find the fraction

Answer 1

Answer:

Given that

numerator is 5 less than denominator and 1 is added

new fraction is 2/3

So, 2-4 is equal to -2

Thus the answer is -2/3

Answer 2

Answer:

$\frac{x - 5}{x} is \: the \: given \: fraction$

$add \: + 1 \: on \: numerator \: and \: denominator$

$\frac{x - 5 + 1}{x + 1} = \frac{2}{3}$

$\frac{x - 4}{x + 1} = \frac{2}{3}$

$2x + 2 = 3x - 12$

$3x - 2x = 12 + 2$

$x = 14$

$therefore \: the \: fraction \: is$

$\frac{x - 5 + 1}{x + 1}$

$\frac{14 - 5 + 1}{14 + 1}$

$\frac{10}{15} = \frac{2}{3}$

therefore the fraction is 2/3