Question

Mark (✓) against the correct answer
Which of the following is correct?

(a) $\frac{2}{3}<\frac{3}{5}<\frac{11}{15}$
(b) $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$
(c) $\frac{11}{15}<\frac{3}{5}<\frac{2}{3}$
(d) $\frac{3}{5}<\frac{11}{15}<\frac{2}{3}$

Answer 1

(b) $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$

The given fractions are $\frac{2}{3},\frac{3}{5}$ and $\frac{11}{15}$.

LCM of 5, 3 and 15 = 15

Now, we have:

$\frac{2}{3}\times \frac{5}{5}=\frac{10}{15}$, $\frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$ and $\frac{11}{15}\times \frac{1}{1}=\frac{11}{15}$

Clearly, $\frac{9}{15}<\frac{10}{15}<\frac{11}{15}$

∴ $\frac{3}{5}<\frac{2}{3}<\frac{11}{15}$