SOLUTION: What number multiplied by the numerator and added to the denominator of the fraction 2/5 makes the resulting fraction 3/4?

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Question 523607: What number multiplied by the numerator and added to the denominator of the fraction 2/5 makes the resulting fraction 3/4?
Found 2 solutions by oberobic, MathTherapy:
Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!

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cross multiply
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Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
What number multiplied by the numerator and added to the denominator of the fraction 2/5 makes the resulting fraction 3/4?

Let the number be N

Then:

3(5 + N) = 8N ----- Cross-multiplying

15 + 3N = 8N

3N – 8N = - 15

– 5N = - 15

N, or number = , or , or

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