SOLUTION: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fr
Algebra.Com
Question 119285: the denominator of a fraction is 5 more than the numerator. if 5 is added to the numerator and 2 is added to the denominator, the value of the fraction is 8/9. find the original fraction.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = original numerator
:
Just write an expression for what it says:
:
"the denominator of a fraction is 5 more than the numerator."
:
"if 5 is added to the numerator and 2 is added to the denominator,:
=
:
"the value of the fraction is 8/9."
=
:
" find the original fraction."
:
Cross multiply and solve for x:
9(x+5) = 8(x+7)
:
9x + 45 = 8x + 56
:
9x - 8x = 56 - 45
:
x = 11
:
Original fraction:
:
Check solution using the statement:
"if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9."
= confirms out solution
:
How about this? Could you follow this OK? Any questions?
RELATED QUESTIONS
The numerator of a certain fraction is 2 more than the denominator. If 3/5 is added to... (answered by fractalier)
The denominator of a fraction is 2 more than the numerator. if 1 is added to both the... (answered by htmentor)
The denominator of a fraction is 2 more than the numerator. If 1 is added to
both the... (answered by josmiceli)
the denominator of a fraction is 2 more than the numerator.. if 1 is added to both, the... (answered by Narsinghchauhan8960103366)
the denominator of a fraction is 4 more than the numerator. If 4 is added to the... (answered by josgarithmetic)
the denominator of a fraction is 4 more than the numerator. if 4 is added to the... (answered by ptaylor,chen.aavaz)
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)
a fraction has a denominator that is 2 more than its numerator.
if the numerator is... (answered by oberobic)
In a certain fraction, the denominator is 5 more than the numerator. If 4 is added to... (answered by josgarithmetic)