Question

The denominator of a fraction in the simplest form is greater than the numerator by 1. If 4 is added to the numerator, and 3 is subtracted from the denominator, then the fraction itself is increased by 2 1 6 . Find the original fraction.

Answer 1

Answer:

Step-by-step explanation:

Let the original fraction is: x/ x-1

And we have that:

• 4 is added to the numerator => new numerator is: x+4
• 3 is subtracted from the denominator => new denominator is: x -1-3 = x -4

the fraction itself is increased by 2$\frac{1}{6}$

<=> $\frac{x}{x-1} *2\frac{1}{6}$ = $\frac{x+4}{x-4}$

<=> $7x^{2} -70x +24 = 0$

Solve for X then we substitue into the original fraction