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

1 answer

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)