Question

The denominator of a fraction is 1 less than twice its numerator. If one is

added to numerator and denominator respectively, the ratio of numerator to

denominator is 3 : 5 find the fraction.​

Answer 1

Step-by-step explanation:

Let the numerator be x

So the denominator will be = 2x - 1

After one is added

Numerator = x + 1

Denominator = 2x - 1 + 1 = 2x

So

x + 1/ 2x = 3/5

5(x + 1) = 3(2x)

5x + 5 = 6x

5 = 6x - 5x

x = 5

So

Numerator = x = 5

Denominator = 2x - 1 = 2*5 - 1 = 10 - 1 = 9

So the fraction is 5/9