Question

The denominator of a fraction is one more than the numerator. If 3 is subtracted to

Answer 1

Answer:

$\frac{4}{5}$

Step-by-step explanation:

let the original fraction be

$\frac{n}{n+1}$ ( with denominator 1 more than numerator )

Subtracting 3 from numerator/ denominator gives

$\frac{n-3}{n+1-3}$ = $\frac{n-3}{n-2}$

Given that the fraction is now equivalent to $\frac{1}{2}$ , then

$\frac{n-3}{n-2}$ = $\frac{1}{2}$ ( cross- multiply )

2(n - 3) = n - 2, distribute left side

2n - 6 = n - 2 ( subtract n from both sides )

n - 6 = - 2 ( add 6 to both sides )

n = 4

and n + 1 = 4 + 1 = 5

Thus original fraction is $\frac{4}{5}$