SOLUTION: The denominator of a fraction is 11 more than the numerator. If both the numerator and the denominator are decreased by 1 ​, the resulting fraction is equivalent to 3/14 . Find

Algebra.Com
Question 1189319: The denominator of a fraction is 11 more than the numerator. If both the numerator and the denominator are decreased by 1 ​, the resulting fraction is equivalent to 3/14 . Find the fraction.
Thanks
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
The denominator of a fraction is 11 more than the numerator. If both the numerator and the denominator
are decreased by 1​, the resulting fraction is equivalent to 3/14. Find the fraction.
~~~~~~~~~~~~~~ 


The fraction is  .


Modified fraction is  .


An equation is   = .


Simplify and find x


    14(x-1)  = 3(x+10)

    14x - 14 = 3x + 30

      11x   = 44

        x   = 44/11 = 4

The fraction is  .    ANSWER

Solved.



Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
The first fraction,

The changed fraction,

The changed fraction is equal to .








The first fraction was
RELATED QUESTIONS

The denominator of a fraction is 5 more than the numerator. If both the numerator and the (answered by MathLover1)
The denominator of a fraction of a fraction is 9 more than the numerator. If both the... (answered by rothauserc)
please help solve: The denominator of a fraction is 1 more than the numerator. If both... (answered by josgarithmetic,greenestamps)
Please help me find the original fraction- The denominator of a fraction is five more... (answered by josgarithmetic,ewatrrr)
The denominator of a fraction is five more than twice the numerator. If both numerator... (answered by Alan3354,math_helper)
The denominator of a fraction is five more than twice the numerator. If both numerator... (answered by josgarithmetic,jim_thompson5910)
The denominator of a fraction is 7 more than the numerator. If both the numerator and the (answered by josgarithmetic,ikleyn,greenestamps)
The denominator of a fraction is 5 more than the numerator. If both the numerator and... (answered by ReadingBoosters)
The denominator of a fraction is 8 more than the numerator. If both the numerator and... (answered by mananth,josgarithmetic)