Question

. If the numerator of a fraction is increased by
250% and the denominator is increased by
7.
300%, the resultant fraction is 7/9 What is the original fraction ?​

Answer 1

Answer:

$\frac{56}{63}$  

Step-by-step explanation:

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

New Fraction = $\frac{x+\frac{250x}{100} }{y+\frac{300y}{100} }$

According to the question,

  New Fraction = 7/9

But we know that new fraction =  $\frac{x+\frac{250x}{100} }{y+\frac{300y}{100} }$

∴ $\frac{7}{9}$ = $\frac{x+\frac{250x}{100} }{y+\frac{300y}{100} }$

$\frac{7}{9}$ = $\frac{\frac{350x}{100} }{\frac{400y}{100} }$

$\frac{7}{9}$ = $\frac{350x}{400y}$

$\frac{7}{9}$ = $\frac{7x}{8y}$

∴ $\frac{x}{y}$ = $\frac{56}{63}$        ←ANSWER

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