Question

Arrange these fractions in decreasing order from top to bottom (by converting them into %)

1- $\frac{45}{50}$

2- $\frac{5}{10}$

3- $\frac{20}{25}$

4- $\frac{36}{60}$

• A. $\frac{36}{60}$
• B. $\frac{5}{10}$
• C. $\frac{45}{50}$
• D. $\frac{20}{25}$

Answer 1

To get equivalent % of $\frac{45}{50}$, multiply and divide it by 100
$\Rightarrow \frac{45\times 100}{50\times 100}=\left(\frac{45\times 100}{50}\right)\times \frac{1}{100}=\frac{90}{100}$
$\Rightarrow$ 90 per 100 is 90%
$\therefore$ Equivalent % of $\frac{45}{50}$ = $90\%$

Similarly, for $\frac{5}{10}$
$\Rightarrow \frac{5\times 100}{10\times 100}=\left(\frac{5\times 100}{10}\right)\times \frac{1}{100}=\frac{50}{100}$
$\Rightarrow$ 5 per 10 is 50%
$\therefore$ Equivalent % of $\frac{5}{10}$ = $50\%$

Similarly, for $\frac{20}{25}$
$\Rightarrow \frac{20\times 100}{25\times 100}=\left(\frac{20\times 100}{25}\right)\times \frac{1}{100}=\frac{80}{100}$
$\Rightarrow$ 80 per 100 is 80%
$\therefore$ Equivalent % of $\frac{20}{25}$ = $80\%$

Similarly, for $\frac{36}{60}$
$\Rightarrow \frac{36\times 100}{60\times 100}=\left(\frac{36\times 100}{60}\right)\times \frac{1}{100}=\frac{60}{100}$
$\Rightarrow$ 60 per 100 is 60%
$\therefore$ Equivalent % of $\frac{36}{60}$ = $60\%$

$\because \frac{45}{50}=90\%,\frac{5}{10}=50\%,\frac{20}{25}=80\%$

and $\frac{36}{60}=60\%$

$\therefore$ fractions in decreasing order are:
$\frac{45}{50},\frac{20}{25},\frac{36}{60},\frac{5}{10}$