Question

Which among the given rational numbers is greater?
a) $\frac{3}{4}$ and $\frac{5}{6}$
b) $\frac{3}{5}$ and $\frac{1}{6}$

Answer 1

$\begin{array}{c}Wehave\\ \left(a\right)\frac{3}{4}and\frac{5}{6}\\ 3\times 6and5\times 4\\ 18and20\\ 18<20\\ Hence,\\ \frac{3}{4}<\frac{5}{6}\\ \left(b\right)\\ Wehave\\ \frac{3}{5}and\frac{1}{6}\\ 3\times 6and5\times 1\\ 18and5\\ 18>5\\ Hence,\\ \frac{3}{5}>\frac{1}{6.}\end{array}$