Question

If numerator and denominator of a proper fractions are increased by the same quantity, then the resulting fraction is then

• A. always greater than the original fraction
• B. always less than the original fraction
• C. always equal to the original fraction
• D. none of these

Answer 1

The correct option is A always greater than the original fraction

Let proper fraction $=\frac{2}{3}$
$\therefore$ Resulting fraction $=\frac{2+1}{3+1}=\frac{3}{4}$
Hence $\frac{2}{3}<\frac{3}{4}$
$\frac{3}{5}<\frac{3+1}{5+1}$
$\Rightarrow \frac{3}{5}<\frac{4}{6}etc.$