Question

$\frac{3}{8}$ and $\frac{5}{12}$ on comparison give
(a) $\frac{3}{8}>\frac{5}{12}$
(b) $\frac{3}{8}<\frac{5}{12}$
(c) $\frac{3}{8}=\frac{5}{12}$
(d) none of these

Answer 1

(b) $\frac{3}{8}<\frac{5}{12}$

Considering $\frac{3}{8}\mathrm{and}\frac{5}{12}$:

$$\begin{gathered} \mathrm{On}\mathrm{cross}\mathrm{multiplying},\mathrm{we}\mathrm{get}: \\ 3\times 12=36\mathrm{and}8\times 5=40 \\ \mathrm{Clearly},36<40 \\ \therefore \frac{3}{8}<\frac{5}{12} \end{gathered}$$