72.8k views
0 votes
If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. What is the numerator of the fraction? 2 9 16

User Aref Riant
by
7.7k points

2 Answers

2 votes

Answer:Given:

N: The numerator.

D: The denominator.

SOLVING:

4(N + 3) = 3D

4N + 12 = 3D

4N - 3D = - 12 ===> First equation.

N = 1(D - 7)

N = D - 7 ===> Second equation.

We replace the second equation in the first equation:

4(D - 7) - 3D = - 12

4D - 28 - 3D = - 12

D = - 12 + 28

D = 16 ===> The denominator.

N = 16 - 7

N = 9 ===> The numerator. SOLUTION

GOOD LUCK...!!!

Explanation:

User Rbginge
by
7.4k points
1 vote
Given:
N:
The numerator.
D: The denominator.
SOLVING:

(N+3)/(D)= (3)/(4)\ ===>\ Simplify
4(N + 3) = 3D
4N + 12 = 3D
4N - 3D = - 12 ===> First equation.


(N)/(D-7)=1\ ===>\ Simplify
N = 1(D - 7)
N = D - 7 ===> Second equation.

We replace the second equation in the first equation:
4(D - 7) - 3D = - 12
4D - 28 - 3D = - 12
D = - 12 + 28
D = 16 ===> The denominator.
N = 16 - 7
N = 9 ===> The numerator. SOLUTION
GOOD LUCK...!!!
User Hoodlum
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories