Homework Help: math

Posted by paige on Wednesday, February 8, 2012 at 1:23pm.

Find a fraction equivalent to 1\2. The denominator must be 5 less than 3 times its numerator. The numerator is less than 8. Is the answer 2\4

math - MathGuru, Wednesday, February 8, 2012 at 5:15pm
Let x = numerator
Let 3x - 5 = denominator

Let's set up an equation:

x/(3x - 5) = 1/2

Cross multiply:
2x = 3x - 5

Solve for x:
x = 5

Therefore: 3x - 5 = 10

Fraction is 5/10
(The numerator is less than 8)

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