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.