SOLUTION: The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is
Algebra.Com
Question 1068157: The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is two-thirds. Find the numerator.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
10x/13x
(10x-4)/(13x-4)=2/3
cross multiply
3(10x-4)=2(13x-4)
30x-12=26x-8
4x=4
x=1
the fraction is 10/13
subtract 4 from top and bottom and get 6/9, which is 2/3
Numerator is 10 ANSWER
RELATED QUESTIONS
The ratio of the numerator to the denominator of a certain fraction is one to four. If... (answered by ewatrrr)
The ratio of the numerator to the denominator of a certain fraction is one to four. If... (answered by Alan3354)
The ratio of the numerator to the denominator of a certain fraction is five to eight. If... (answered by mananth,ikleyn,greenestamps)
The ratio of the numerator to the denominator of a certain fraction is five to eight. If... (answered by jorel1380)
The difference between the numerator and the denominator of a certain proper fraction is... (answered by stanbon)
The ratio of the numerator to the denominator of a certain fraction is five to eight. If... (answered by stanbon)
The ratio of the numerator to the denominator of a certain fraction is three to five. If... (answered by Alan3354)
The ratio of the numerator to the denominator of a fraction is three to five. If fifteen... (answered by math_helper)
The ratio of the numerator to denominator is two to three. If ten is added to the... (answered by stanbon)