Answer:
7/9
Explanation:
The numerator of a positive fraction is 2 less than its denominator. When both the numerator and the denominator are increased by 3, the new fraction is greater than the original one by 1/18. Find the original fraction.
Let's set the numerator as x. So, the denominator would be x+2.
Then, the fraction would be
x/(x+2)
Then, if both the numerator and denominator have 3 added to them, the new fraction would be (x+3) / (x+2+3)
And, this is 1/18 greater than the original fraction. So, we can write this equation.
x / (x + 2) + 1/18 = (x + 3) / (x + 5)
I wrote the rest on paper so it is easier to understand.
Hope this helps! Feel free to ask any questions!