Question

If the numerator of a fraction is increased by 350% and the denominator of the fraction is increased by 300%, the resultant fraction is $\frac{9}{22}$. What is the original fraction?

• A. $\frac{3}{4}$
• B. $\frac{5}{12}$
• C. $\frac{7}{9}$
• D. $\frac{4}{11}$
• E. None of the above

Answer 1

The correct option is D $\frac{4}{11}$

Let the original fraction is $\frac{a}{b}$
According to question.
$\frac{a+\frac{350}{100}\times a}{b+\frac{300}{100}\times b}=\frac{9}{22}\Rightarrow \frac{4.5a}{4b}=\frac{9}{25}\Rightarrow \frac{a}{b}=\frac{9}{22}\times \frac{4}{4.5}=\frac{4}{11}$