Laura E.
asked • 02/25/17
I'm a bit confused about these types of questions. I have quite a few of them but if I can get the gist of how to do one maybe I can do the rest on my own.
thanks!
1 Expert Answer
Tim C. answered • 02/25/17
Experienced and Effective Specialist in Praxis Math and GED Math
Let x stand for the number you want to add to both the numerator and denominator.
Then you set up an equation like this:
Then cross multiply to get:
Continue by solving for x. You will get 7. Check your answer in the original equation and you will see that you get 12/28, which reduces to 3/7
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Answer:
The number to be added to both numerator and denominator is 7.
Step-by-step explanation:
The number: x
Equation:
(3+x)/(5+x) = 5/6
Cross multiply:
(3 + x)(6) = (5 + x)(5)
6x + 18 = 5x + 25
6x - 5x = 25 - 18
x = 7
The number to be added to both numerator and denominator is 7.
Check:
(3+7)/(5+7) = 5/6
10/12 = 5/6
Simplify:
5/6 = 5/6 (True)
Answer:7
Step-by-step explanation:
3+7=10
5+7÷=12
10/12 is equal to 5/6