SOLUTION: If the denominator of a fraction is added to its numerator and the numerator is subtracted from its denominator , the fraction becomes 11/3 . If the numerator exceeds the denominat

Algebra.Com
Question 32136: If the denominator of a fraction is added to its numerator and the numerator is subtracted from its denominator , the fraction becomes 11/3 . If the numerator exceeds the denominator by 3 , find the fraction ?
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
N=D+3 & (N+D)/(D-N)=11/3 OR SUBSTITUTING D+3 FOR N WE GET
((D+3)+D)/(D-(D+3)=11/3 OR (2D+3)/-3=11/3 OR CROSS MULTIPLYING WE GET 6D+9=-33
OR 6D=-42 OR D=-7 THEREFORE N=-7+3 OR N=-4
PROOF ((-4+(-7)))/(-7)-(-4)=11/3 OR -11/(-7+4)=11/3 OR -11/-3=11/3 OR 11/3=11/3

RELATED QUESTIONS

If the denominator of a fraction is added to its numerator and the numerator is... (answered by checkley71)
If the denominator of a fraction is added to its numerator and the numerator is... (answered by stanbon)
The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted... (answered by edjones)
If 1 is subtracted from the numerator and denominator of a fraction, the value obtained... (answered by josgarithmetic)
The difference between the numerator and the denominator of a certain proper fraction is... (answered by stanbon)
Denominator of fraction is 6 more then the numerator. If one is added to numerator and 3... (answered by Boreal)
A fraction is equivalent to 1/3 if its numerator decreases by 2 and its denominator... (answered by Theo)
The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from... (answered by josgarithmetic,Edwin McCravy,ikleyn)
The denominator of a rational number is greater than its numerator by 7. if 3 is... (answered by lwsshak3)