Question

Mary has to arrange the following fractions in the descending order:

$\frac{5}{8}\text{,}\frac{3}{4}\text{and}\frac{4}{16}$

Help her to find the correct order.

• A. $\frac{5}{8}\text{>}\frac{3}{4}\text{>}\frac{4}{16}$
• B. $\frac{5}{8}\text{>}\frac{4}{16}\text{>}\frac{3}{4}$
• C. $\frac{4}{16}\text{>}\frac{3}{4}\text{>}\frac{5}{8}$
• D. $\frac{3}{4}\text{>}\frac{5}{8}\text{>}\frac{4}{16}$

Answer 1

The correct option is D $\frac{3}{4}\text{>}\frac{5}{8}\text{>}\frac{4}{16}$

First, we represent each of the fractions using visual models.

$\text{The fraction}\frac{5}{8}\text{can be represented as:}$


$\text{Similarly,}\text{the fraction}\frac{3}{4}\text{can be represented as:}$


$\text{Finally,}\text{the fraction}\frac{4}{16}\text{can be represented as:}$


$\text{So, we can write:}\frac{5}{8}=\frac{5}{8}\frac{3}{4}=\frac{6}{8}\frac{4}{16}=\frac{2}{8}$


$\text{Now, comparing these fractions, we get:}$


$\therefore \text{The given fractions can be arranged}\text{in their descending order as:}\frac{3}{4}>\frac{5}{8}>\frac{4}{16}$