Question

Arrange the following fractions in descending order: $\frac{3}{7},\frac{3}{11},\frac{3}{5},\frac{3}{13},\frac{3}{4},\frac{3}{17}$

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Solution

The given fractions are $\frac{3}{7},\frac{3}{11},\frac{3}{5},\frac{3}{13},\frac{3}{4}\mathrm{and}\frac{3}{17}.$ As the fractions have the same numerator, so we can follow the rule for the comparison of such fractions. This rule states that when two fractions have the same numerator, the fraction having the smaller denominator is the greater one. Clearly, $\frac{3}{4}>\frac{3}{5}>\frac{3}{7}>\frac{3}{11}>\frac{3}{13}>\frac{3}{17}$ Hence, the given fractions can be arranged in the descending order as follows: $\frac{3}{4},\frac{3}{5},\frac{3}{7},\frac{3}{11},\frac{3}{13},\frac{3}{17}$

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