Question

Arrange in descending order in each of the following using the symbol >:

(i) $\frac{8}{17},\frac{8}{9},\frac{8}{5},\frac{8}{13}$
(ii) $\frac{5}{9},\frac{3}{12},\frac{1}{3},\frac{4}{15}$
(iii) $\frac{2}{7},\frac{11}{35},\frac{9}{14},\frac{13}{28}$

Answer 1

When numerators are the same and denominators are different, then the fraction with greater denominator has a smaller value.

When denominators are the same and numerators are different, then the fraction with greater numerator has a larger value.

(i)$\frac{8}{5}>\frac{8}{9}>\frac{8}{13}>\frac{8}{17}$
(ii) $\mathrm{LCM}\mathrm{of}9,12,3\mathrm{and}15\mathrm{is}180.$
$\frac{5}{9}\times \frac{20}{20}=\frac{100}{180}$
$\frac{3}{12}\times \frac{15}{15}=\frac{45}{180}$
$\frac{1}{3}\times \frac{60}{60}=\frac{60}{180}$
$\frac{4}{15}\times \frac{12}{12}=\frac{48}{180}$
$\frac{5}{9}>\frac{1}{3}>\frac{4}{15}>\frac{3}{12}$
(iii)$\frac{9}{14}>\frac{13}{28}>\frac{11}{35}>\frac{2}{7}$