SOLUTION: Write a fraction for which the sum of the numerator and denominator is 44, and the value of the fraction is 5/6

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Question 1167484: Write a fraction for which the sum of the numerator and denominator is 44, and the value of the fraction is 5/6
Found 3 solutions by Theo, MathTherapy, greenestamps:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
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.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

Write a fraction for which the sum of the numerator and denominator is 44, and the value of the fraction is 5/6

Let the numerator be N
Than the denominator = 44 - N
We then get:
6N = 5(44 - N) ------- Cross-multiplying
6N = 220 - 5N
11N = 220
Numerator or
Denominator: 44 - 20 = 24

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

Since the value of the fraction is 5/6, let the fraction be .

Then, given that the sum of the numerator and denominator is 44,

And so the fraction is .

ANSWER: 20/24