Question 1189319
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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.
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<pre>
The fraction is  {{{x/(x+11)}}}.


Modified fraction is  {{{(x-1)/(x+10)}}}.


An equation is  {{{(x-1)/(x+10)}}} = {{{3/14}}}.


Simplify and find x


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

    14x - 14 = 3x + 30

      11x   = 44

        x   = 44/11 = 4

The fraction is  {{{4/15}}}.    <U>ANSWER</U>
</pre>

Solved.