Question

the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator

Answer 1

11

Explanation:

Given Fraction

Let the denominator = x

The numerator is 2x + 1

2x + 1

=====

x

The new fraction

2x + 1 + 4

=========

x + 4

Equation

2x + 5 5

====== = ====

x + 4 3

Solution

Cross Multiply

3(2x + 5) = 5(x + 4)

Remove the brackets

6x + 15 = 5x + 20

Subtract 5x from both sides

6x - 5x + 15 = 20

Subtract 15 from both sides

x = 20 - 15

x = 5

============

Answer

2(5) + 1 = 11

The original numerator is 11