Question

Arrange the following in descending order.
$\frac{5}{2}$, $\frac{3}{2}$, $\frac{7}{2}$, $\frac{9}{5}$, $\frac{9}{8}$

• A. $\frac{7}{2}$, $\frac{9}{8}$, $\frac{3}{2}$, $\frac{9}{5}$, $\frac{5}{2}$
• B. $\frac{7}{2}$, $\frac{5}{2}$, $\frac{9}{5}$, $\frac{3}{2}$, $\frac{9}{8}$
• C. $\frac{5}{2}$, $\frac{9}{5}$, $\frac{3}{2}$, $\frac{9}{8}$, $\frac{7}{2}$
• D. $\frac{9}{8}$, $\frac{5}{2}$, $\frac{3}{2}$, $\frac{7}{2}$, $\frac{9}{5}$

Answer 1

The correct option is B $\frac{7}{2}$, $\frac{5}{2}$, $\frac{9}{5}$, $\frac{3}{2}$, $\frac{9}{8}$

$\frac{5}{2},\frac{3}{2},\frac{7}{2},\frac{9}{5},\frac{9}{8}$

We know that the number with largest denominator is the smallest one.

And among $\frac{5}{2},\frac{3}{2},\frac{7}{2}$ the one with largest numerator is the largest one.

Among $\frac{9}{5}$ and $\frac{3}{2},$ $\frac{9}{5}$ is larger.

Hence descending order is $\frac{7}{2},\frac{5}{2},\frac{9}{5},\frac{3}{2},\frac{9}{8}.$