SOLUTION: Please help me with this word problem.... The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted from the numerator and 1 added to the denominat

Algebra.Com
Question 411069: Please help me with this word problem....
The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted from the numerator and 1 added to the denominator, the resulting fraction equals 1/3. Find the fraction.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
The numerator of a certain fraction is 7 less than its denominator.
Let x and (x-7)represent the denominator and numerator respectively
Question states***
[(x-7)-4] / (x+1) = 1/3
Solving for x
|cross multiplying to solve for x
3(x-11) = (x+1)
2x = 34
x = 17, the denominator. The numerator is 10. (17-7)
Fraction is 10/17
CHECKING our Answer***
6/18 = 1/3
RELATED QUESTIONS

Please help me out with this math. The numerator of a fraction is 5 less than its... (answered by ikleyn,MathTherapy)
Good day SirMaam, Please help me solve this word problem: Thank you vey much. The sum (answered by Timnewman)
A pleasant day dear Sir / Madam, please help me with this word problem involving... (answered by MathTherapy)
please help me solve this word problem:- the denominator of a fraction is 1 in excess of (answered by ewatrrr)
The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted... (answered by edjones)
Please help me solve this word problem. The numerator and denominator of a fraction are... (answered by MathTherapy)
Please help solve this problem: The numerator of a fraction is 15 less than twice its... (answered by solver91311)
please help me solve this, its a word problem so I don't have an exact equation quite... (answered by josmiceli)
In a certain fraction, the denominator is 4 less than the numerator. If 3 is added to... (answered by MathLover1)