Question

a fraction is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 to the denominator the resulting fraction is 3/5 find the fraction​

Answer 1

Answer:

The required fraction is 3/5

Answer 2

Answer:  3/5

Step-by-Step Explanation:

Let x represent the denominator of the fraction, then we have $\dfrac{x-2}{x}$

Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:

$\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5$

Substitute x = 5 into the original fraction:

$\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}$