Question

Which is greater in each of the following:
(i) $\frac{2}{3}$,$\frac{5}{2}$ (ii) -$\frac{5}{6}$,-$\frac{4}{3}$ (iii) -$\frac{3}{4}$,$\frac{2}{-3}$ (iv) $-\frac{1}{4}$,$\frac{1}{4}$ (v) $-\frac{32}{7}$,$-\frac{34}{5}$

Answer 1

(i) $\frac{2}{3}$, $\frac{5}{2}$
By converting these into like fractions,
$\frac{2}{3}$ = $\frac{2\times 2}{3\times 2}$= 4/6
$\frac{5}{2}$= $\frac{5\times 3}{2\times 3}$ =$\frac{15}{6}$
As 15 > 4, therefore, $\frac{5}{2}$ is greater.

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(ii) -$\frac{5}{6}$, -$\frac{4}{3}$
-$\frac{4}{3}$ = -$\frac{4\times 2}{3\times 2}$ = -$\frac{8}{6}$
As -5>-8, therefore, -$\frac{5}{6}$ is greater.