Question

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25 51 . What is the original fraction?

Answer 1

The original fraction is

25/51 × [(350+100)/(150+100)]

=25/51 × [450/250]

=25/51 × 450/250

=25/51 × 45/25

=45/51

=15/17.

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Answer 2

The original fraction is 15/17

Step-by-step explanation:

Let the numerator and denominator be x and y respectively.

Fraction =$\frac{x}{y}$

The numerator of a fraction is increased by 150%

New numerator =$x+150\%x=2.5x$

The denominator of the fraction is increased by 350%

New denominator = $y+350\%y=4.5y$

Fraction = $\frac{2.5x}{4.5y}$

We are given that the resultant fraction is $\frac{25}{51}$

So,$\frac{2.5x}{4.5y}=\frac{25}{51}\\\frac{x}{y}=\frac{25 \times 4.5}{51 \times 2.5}\\\frac{x}{y}=\frac{15}{17}$

Hence the original fraction is 15/17

#Learn more:

If a numerator of a fractionis increased by 200% and the denminator is increased by 350% the resultant fraction is 5/12. What is the original fraction

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