Question

Razia completes $\frac{2}{3}$ part of her homework while Rekha completed $\frac{3}{5}$ of it. Who has completed more work?

• A. Razia
• B. Rekha
• C. Both covered equal part
• D. Can not be determined

Answer 1

The correct option is A Razia

Razia's work = $\frac{2}{3}$

Rekha's work = $\frac{3}{5}$

Comparing them by making them like fractions;
Multiplying 5 in both numerator and denominator of Rajia's work i.e,
$\frac{2}{3}$ = $\frac{2\times 5}{3\times 5}$ = $\frac{10}{15}$
Similarly, multiplying by 3 in Rekha's work, we get $\frac{3}{5}$ = $\frac{3\times 3}{5\times 3}$ = $\frac{9}{15}$

As we can see $\frac{10}{15}$ > $\frac{9}{15}$.
i.e Razia did more work.