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) About Me  (Show Source):
You can put this solution on YOUR website!
+%282%2F5%29%2Ax+=+3%2F4+
.
+2x%2F5+=+3%2F4+
.
cross multiply
.
+8x+=+15+
.
+x+=+15%2F8+

Answer by MathTherapy(10557) About Me  (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: 2N%2F%285+%2B+N%29+=+%283%2F4%29

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

15 + 3N = 8N

3N – 8N = - 15

– 5N = - 15

N, or number = %28-+15%29%2F-+5, or 15%2F5, or highlight_green%283%29

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Check
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2%283%29%2F%285+%2B+3%29+=+3%2F4

6%2F8+=+3%2F4

3%2F4+=+3%2F4 (TRUE)

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