Maths / Fractions and Decimals / Comparison of Fractions

QUESTION

Arrange the given fractions in desending order.

$\frac{4}{7},\frac{2}{3},\frac{4}{7},\frac{4}{7},\frac{3}{5}$

 OPTIONS A. $\frac{4}{7}>\frac{3}{5}>\frac{4}{5}>\frac{2}{3}$ B. $\frac{2}{3}>\frac{4}{5}>\frac{4}{7}>\frac{3}{5}$ C. $\frac{4}{5}>\frac{2}{3}>\frac{4}{7}>\frac{3}{5}$ D. $\frac{4}{5}>\frac{2}{3}>\frac{3}{5}>\frac{4}{7}$
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

Consider $\frac{4}{7},\frac{2}{3},\frac{4}{7},\frac{3}{5}$

converting them to equivalent fraction,

LCM = 105

We get $\frac{84}{105}>\frac{70}{105}>\frac{60}{105}>\frac{63}{105}$

$\frac{84}{105},\frac{70}{105},\frac{60}{105},\frac{63}{105}$

$\frac{4}{5}>\frac{2}{3}>\frac{3}{5}>\frac{4}{7}$

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