Question

18. 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 equivalent
to the fraction Find the original fraction.​

Answer 1

Answer:

x = -2/4

Step-by-step explanation:

Let denominator = x

Numerator = x-2

Now,

New Numerator = x-2 + 3 = x+1

New Denominator = x+5

Given, Now the original and new fraction are equal.

x/x-2 = x+1/x+5

Cross Multiply

(x-2)×(x+1) = x(x+5)

x²+x-2x-2 = x²+5x

x²+x-2 = x²+5x

x²+x - (x²+ 5x) = 2

x² + x - x² - 5x = 2

-4x = 2

x = -2/4