SOLUTION: The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the fraction is 3/8 . Find the fraction.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the fraction is 3/8 . Find the fraction.      Log On


   

Question 1196572: The denominator of a fraction exceeds the numerator of a fraction by 25. The value of the
fraction is 3/8


. Find the fraction.
Found 3 solutions by ikleyn, josgarithmetic, greenestamps:
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

The value of the fraction is    3%2F8   - it is  GIVEN  in the condition.


The difference (denominator-numerator) is 8-3 = 5.


Multiply numerator and denominator by 5, and you will get the same value of the fraction

with the difference between the denominator and numerator of 40 - 15 = 25.


So the form of the fraction the problem asks for is  15%2F40.    ANSWER

Solved.



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
n%2F%28n%2B25%29=3%2F8, n for numerator

3%28n%2B25%29=8n
3n%2B75=8n
75=5n
n=75%2F5=%285%2A5%2A3%29%2F5
n=15
-
denominator, 15%2B25=40
The Fraction, highlight%2815%2F40%29

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Since the value of the fraction is 3/8, represent it by %283x%29%2F%288x%29

Then, since the denominator is 25 more than the numerator,

8x-3x=25
5x=25
x=5

The fraction is %283x%29%2F%288x%29=15%2F40