Question

Arrange the following fractions in descending order.
$\frac{6}{8},\frac{6}{7},\frac{6}{9}$

• A. $\frac{6}{7}<\frac{6}{8}<\frac{6}{9}$
• B. $\frac{6}{7}>\frac{6}{9}>\frac{6}{8}$
• C. $\frac{6}{9}<\frac{6}{7}<\frac{6}{8}$
• D. $\frac{6}{7}>\frac{6}{8}>\frac{6}{9}$

Answer 1

The correct option is D $\frac{6}{7}>\frac{6}{8}>\frac{6}{9}$

$\bullet$ All the given fractions have the same numerator, which is 6.
$\bullet$ We know that when the numerators are the same, then the fraction with the smaller denominator is greater.
$\bullet$ So, the descending order of the given fractions is:

$\frac{6}{7}>\frac{6}{8}>\frac{6}{9}$


Hence, option B is correct.