SOLUTION: When 2 is subtracted from the numerator and 1 is added to the denominator of a positive fraction the result is 5. Find the fraction given that it lies between 7 and 8.

Question 145759: When 2 is subtracted from the numerator and 1 is added to the denominator of a positive fraction the result is 5. Find the fraction given that it lies between 7 and 8.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
When 2 is subtracted from the numerator and 1 is added to the denominator of a positive fraction the result is 5. Find the fraction given that it lies between 7 and 8
:
n = numerator, d = denominator
:
= 5
:
n - 2 = 5(d+1)
n - 2 = 5d + 5 + 2
n = 5d + 7
:
Substitute values for d, find an integer which satisfies the "between 7 & 8" requirement
:
d=2
n = 5(2) + 7
n = 17
= 8.5 obviously not the solution
:
d=3
n = 5(3) + 7
n = 22
= 7.333, this is fraction we are seeking
RELATED QUESTIONS
The denominator of a certain fraction is th ree times the numerator. If 2 is added to... (answered by ReadingBoosters)

If three is added to both the numerator and the denominator of fraction p/a the result is (answered by josgarithmetic)

The denominator of a fraction is five more than the numerator. When 4 is subtracted from (answered by robertb)

the denominator of a certain fraction is three times the numerator. if 1 is added to the... (answered by solver91311)

The denominator of a certain fraction is three times the numerator. If 2 is added to the... (answered by MathLover1)

1.if 5 is added both to the numerator and denominator of a fraction an the result is... (answered by josgarithmetic)

A particular fraction is equivalent to 2/3. The fraction becomes 1/3 when 4 is... (answered by josgarithmetic)

The denominator of the fraction is 2 more than the numerator. If 1 is subtracted from... (answered by josgarithmetic,Edwin McCravy,ikleyn)

the numerator of a fraction exceeds the denominator by 3. if 3 is added to the numerator (answered by josmiceli)