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

The required fraction is 3/5

Answer 2

Answer: 3/5

Explanation:

Let x represent the denominator of the fraction, then we have
`(x-2)/(x)`

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

`((x-2)+3)/((x)+5)=(3)/(5)\\\\\\\text{Simplify:}\\(x+1)/(x+5)=(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:

`((5)-2)/((5))\quad =\large\boxed{(3)/(5)}`