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16 November, 09:57

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

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  1. 16 November, 10:09
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    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

    God is with you!
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