The numerator of a fraction , equivalent to 3/4, is increased by an amount so that the value of the resulting fraction is 5/2. Find amount that the numerator is increased.

well, 5/2 = 10/4

To find the amount by which the numerator is increased, we can set up the equation:

Let x be the amount by which the numerator is increased.

The original fraction is 3/4. If we increase the numerator by x, the new fraction becomes (3 + x)/4.

According to the question, the value of the resulting fraction is 5/2. Therefore, we can set up the equation:

(3 + x)/4 = 5/2

To solve this equation, we can cross-multiply:

2 * (3 + x) = 4 * 5

6 + 2x = 20

Next, we can isolate x by subtracting 6 from both sides:

2x = 20 - 6

2x = 14

Finally, we can solve for x by dividing both sides by 2:

x = 14/2

x = 7

Therefore, the numerator needs to be increased by 7 in order for the value of the resulting fraction to be 5/2.