SOLUTION: The numerator of the fraction is 4 less than its denominator. If the numerator and the denominator are decreased by 3, the resulting fraction is 5/6. What is the original fraction?

Algebra.Com
Question 1180097: The numerator of the fraction is 4 less than its denominator. If the numerator and the denominator are decreased by 3, the resulting fraction is 5/6. What is the original fraction?

Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!




let the original fraction be
if the numerator of the fraction is less than its denominator, we have

=>the original fraction be
if the numerator and the denominator are decreased by , the resulting fraction is ,

...cross multiply




go to
substitute




the original fraction is


Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
, the fraction
-
, the second sentence




The fraction is .

RELATED QUESTIONS

What is the denominator of a fraction is 1 greater than its numerator. If both the... (answered by orca)
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased (answered by amalm06)
please help solve: The denominator of a fraction is 1 more than the numerator. If both... (answered by josgarithmetic,greenestamps)
The numerator of a fraction is 2 less than the denominator. if 3 is added both numerator... (answered by TimothyLamb)
The denominator of a fraction is 9 more than the numerator. If the numerator is decreased (answered by mananth)
The denominator of a fraction of a fraction is 9 more than the numerator. If both the... (answered by rothauserc)
The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added... (answered by ankor@dixie-net.com)
the numerator of a fraction is less than the denominator. If the numerator is decreased... (answered by ankor@dixie-net.com,MathTherapy)
The numerator of a fraction is three less than the denominator. If the numerator and... (answered by Theo)