Question

if the numerator of a fraction is increased by 300% And The denominator is increased by 500% the resultant fraction is 5/12 .what was the original fraction?

Answer 1

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Answer 2

Answer:

If the numerator of a fraction is increased by 300% And The denominator is increased by 500% the resultant fraction is 5/12 .

Step-by-step explanation:

• Step: 1)  Let numerator will be $x$.If numerator is increased by 300% , then numerator will be       $x+\frac{300}{100}x$
• Step: 2)numerator =  $4x$
• Step: 3) Let denominator will be $y$. If denominator is increased by 500%, then denominator will be       $y+\frac{500}{100}y$
• Step: 4) denominator=  $6x$
• Step: 5) Equation will be:       $\frac{4x}{6y}=\frac{5}{12}$
• Step: 6)    $\frac{x}{y} = \frac{5*6}{12*4}$  
• Step: 7)     $\frac{x}{y} =\frac{30}{48}$
• Step: 8)     $\frac{x}{y} = \frac{5}{8}$
• Hence the original fraction is $\frac{5}{8}$.

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