Question

If the same number is added to the numerator and the denominator of 2/5, the resulting fraction is equal to 2/3. what is the number? abeka 9th grade

Answer 1

4

Explanation:

Call the number x:

-> we have
`(2+x)/(5+x) = \frac23`

-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4

So x (the number we need is) = 4