Knowee
Questions
Features
Study Tools

If nine is added to both the numerator and the denominator of a certain fraction, the fraction becomes 3/4. If one is subtracted from both the numerator and the denominator, it becomes 1/2. The fraction is

Question

If nine is added to both the numerator and the denominator of a certain fraction, the fraction becomes 3/4. If one is subtracted from both the numerator and the denominator, it becomes 1/2. The fraction is

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote the numerator as x and the denominator as y.

From the problem, we have two equations:

  1. x + 9 / y + 9 = 3/4
  2. x - 1 / y - 1 = 1/2

We can solve these two equations simultaneously to find the values of x and y.

First, let's simplify the equations:

  1. 4x + 36 = 3y + 27
  2. 2x - 2 = y - 1

Solving these equations, we get:

  1. 4x - 3y = -9
  2. 2x - y = 3

Multiplying the second equation by 2, we get:

4x - 2y = 6

Subtracting this from the first equation, we get:

-y = -15

So, y = 15.

Substituting y = 15 into the second equation, we get:

2x - 15 = 3

So, x = 9.

Therefore, the fraction is 9/15.

This problem has been solved

Similar Questions

A fraction becomes 2 / 3 if 1 is added to its numerator and 2 is added to its denominator . If 2 is subtracted from the numerator and 5 is added to its denominator, the fraction becomes 1 / 4, If 3 is added to the numerator and 1 is subtracted from the denominator, then fraction becomes:6/53/45/74/3

The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?Choices:- 2/5 7/9 3/11 8/5

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is:a.3/10b.4/7c.5/12d.6/13

The sum of the numerator and denominator of a fraction is 7. If 1 is added to the numerator as well as the denominator, the fraction becomes 1/2. The original fraction is:

A fraction has the denominator greater than its numerator by 6. But if you add 8 to the denominator, the value of the fraction would then become 1/3.  the fraction is :A.6/11B.6/13C.7/13D. NONE OF THES

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.