<PRE><B>Question 1167484</B>
let n represent the numerator and d represent the denominator.


you get:


n/d = 5/6


n + d = 44
solve for n to get:
n = 44 - d


n/d = 5/6 becomes (44 - d) / d = 5/6
multiply both sides of this equation by d to get:
44 - d = 5/6 * d
add d to both sides of this equation to get:
44 = 5/6 * d + d
simplify to get:
44 = 11/6 * d
multiply both sides of this equation by 6/11 to get:
44 * 6/11 = d
solve for d to get:
d = 44 * 6/11 = 24.


n/d = 5/6 becomes n/24 = 5/6
solve for n to get:
n = 24 * 5/6 = 20


you have n = 20 and d = 24
their sum is 44, so that part of the problem statement checks out.
n/d = 20/24 which simplifies to 5/6, so that part of the problem statement checks out as well.


your solution is that the value of the fraction is 20/24.





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