Question

Arrange the following numbers in descending order using decimals:

$\frac{4}{10}$, $\frac{6}{20}$, $\text{and}$ $\frac{31}{50}$

• A. $\text{0.5, 0.34, 0.2}$
• B. $\text{0.4, 0.3, 0.62}$
• C. $\text{0.21, 0.4, 0.59}$
• D. $\text{0.62, 0.4, 0.3}$

Answer 1

The correct option is D $\text{0.62, 0.4, 0.3}$

To arrange the numbers in descending order, let's first write the numbers in decimal form, by making the denominators 100.

$\frac{4\times 10}{10\times 10}=$$\frac{40}{100}$ $=0.4$

$\frac{6\times 5}{20\times 5}=$$\frac{30}{100}$ $=0.3$

$\frac{31\times 2}{50\times 2}=$$\frac{62}{100}$ $=0.62$

$\text{Arrange 0.4, 0.3, and 0.62}$ $\text{in descending order.}$

Let's place the numbers on a number line.


Here, the number on the right side of the number line is always the bigger .

$\text{Now, arranging the numbers in}$ $\text{descending order, we get}$
$\text{0.62, 0.4, 0.3.}$

Hence, d is the correct option.