Question

If the numerator of a fraction is increased by 25 percent and the denominator is increas
ed by 10 percent it becomes 2/5.Find the original fraction?

Answer 1

The original fraction is 44/125

Step-by-step explanation:

Let the fraction be $\frac{x}{y}$

Now, the numerator is increased by 25%. Thus, the new numerator is

x ' = x + 25% of x

x' = x +0.25x

x' = 1.25 x

And the denominator is increased  by 10%. Thus, the new denominator is

y ' = y 10% of y

y' = y +0.10y

y' = 1.10 y

The new fraction is 2/5. Thus, we have

$\frac{x'}{y'}=\frac{2}{5}\\\\\frac{1.25x}{1.10y}=\frac{2}{5}\\\\\frac{x}{y}=\frac{2\cdot1.10}{5\cdot1.25}\\\\\frac{x}{y}=\frac{44}{125}$

Therefore, the new fraction is 44/125

#Learn More:

The denominator of a fraction exceeds the numerator by 5. If the numerator is increased  by 9 then the fraction is increased by 1. Find the fraction

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