Question

If the numerator of a fraction is multiplied by 4 and the denominator is reduced by 2,the result is 4. If the numerator of the fraction is increased by 15 and 2 subtracted from the double of the denominator, the result is 5/4. Find the fraction.​

Answer 1

To solve this problem, we need to start by setting up an equation. The equation should express the fact that the result of the two operations on the fractions is both 4 and 5/4.

We can do this by writing:

4x/(x-2) = 4

5x/2(x-2) = 5/4

Solving for x, we get x=16. Therefore, the fraction we are looking for is 4/14, since 4 times 16 divided by 16 minus 2 equals 4 and 5 times 16 divided by 2 times 16 minus 2 equals 5/4.