Question

When the same whole number is added to both the numerator and denominator of $\frac{2}{5}$, the value of the new fraction is $\frac{2}{3}$. What number was added to both the numerator and denominator

Answer 1

Answer:

Correct answer: x = 4

Step-by-step explanation:

If I saw your fractions right it's like this:

(2 + x) / (5 + x) = 2 / 3 => 3 (2 + x) = 2 (5 + x) => 6 + 3 x = 10 + 2 x

3 x - 2 x = 10 - 6  => x = 4

We will check

2 + 4 / 5+ 4 = 6 / 9  

When we divide both numerator and denominator

with 3 we get 2/3

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