Question

Isha read 25 pages of a book containing 100 pages. Nagma read $\frac{1}{2}$ of the same book. Who read less?

Answer 1

Total pages in the book = 100
Fraction of the book read by Isha = $\frac{25÷25}{100÷25}=\frac{1}{4}(\mathrm{Dividing}\mathrm{numerator}\&\mathrm{denominator}\mathrm{by}\mathrm{the}\mathrm{HCF}\mathrm{of}25\&100)$
Fraction of the book read by Nagma = $\frac{1}{2}$
Now, compare $\frac{1}{4}\&\frac{1}{2}$.
LCM of 4 & 2 is 4.

Convert each fraction into equivalent fraction with 4 as its denominator.

$$\begin{gathered} \frac{1\times 1}{4\times 1}\&\frac{1\times 2}{2\times 2} \\ \frac{1}{4}\&\frac{2}{4} \\ \frac{1}{4}<\frac{2}{4} \end{gathered}$$
Therefore, Isha read less.