Question

The difference between the numerator and the denominator of a fraction is $5$ If $5$ is added to the denominator the fraction is decreased by $1\frac{1}{4}$ then the value of the fraction will be equal to:

• A. $\frac{1}{6}$
• B. $2\frac{1}{4}$
• C. $3\frac{1}{4}$
• D. $6$

Answer 1

The correct option is B $2\frac{1}{4}$

Let the numerator be $x+5$ and denominator be $x$

Given condition is :$\frac{x+5}{x}-\frac{x+5}{x+5}=\frac{5}{4}$

$\Rightarrow \frac{x+5}{x}=\frac{9}{4}=2\frac{1}{4}=$fraction value

$\therefore$fraction value$=2\frac{1}{4}$