Question

rational number is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 the denominator the resulting fraction is equal to
$\frac{3}{5}$
find the rational number​

Answer 1

let the denominator of the original fraction be x.

since, numerator(n) is 2 less than denominator (D) ,

fraction is

$\frac{x - 2}{x}$

then if you add 3 to the n and 5 to the D,

$\frac{(x - 2) + 3}{x + 5}$

resulting fraction is equal to 3/5

therefore,

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

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

$5(x + 1)3(x + 5)$

$5x + 5 = 3x + 15$

$2x = 10$

$x = 5$

therefore, the OG fraction is

$\frac{3}{5}$

since denominator or x =5 and

$n - 2 = 5 \\ \\ n = 3$

hope this helps please mark as brainliest

Answer 2

you can get by doing this

thank you