# Mathematics

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The numerator of a fraction is two less than its denominator. When both numerator and denominator are increased by 3, the fraction is increased by 3/20. Find the original fraction. Explain your solution

• Mathematics -

Let the original fraction be x/(x+2)

(x+3)/(x+5) = x/(x+2) + 0.15

Solve for x. Try x = 3,

6/8 = 3/5 + 0.15 It works!

So the original fraction is 3/5.

• Mathematics -

thanks

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