Question

Which of the following is/are correct?

• A. $\frac{1}{4}=0.25$
• B. $\frac{1}{4}=2.5$
• C. $\frac{1}{5}=0.02$
• D. $\frac{1}{5}=0.2$

Answer 1

Answer: (A), (D)

$\frac{1}{5}=0.2$

Let's divide the fraction $\frac{1}{4}$
We multiply both the numerator and denominator of $\frac{1}{4}$ with 25 to get a fraction with a denominator power of 10.

$\frac{1}{4}=\frac{1\times 25}{4\times 25}=\frac{25}{100}$

$\because$ Denominator of fraction $\frac{25}{100}$ is 100,
$\to$ Write the numerator as 25.0
$\to$ Shift the decimal point two places to the left in 25.0, since the denominator has two zeros (100)

$25.0\to 0.25$
$\Rightarrow \frac{25}{100}=\frac{25.0}{100}=0.25$
Option A is correct.

Let's divide the fraction $\frac{1}{5}$
We multiply both the numerator and denominator of $\frac{1}{5}$ with 20 to get a denominator with the power of 10.

$\frac{1}{5}=\frac{1\times 20}{5\times 20}=\frac{20}{100}$

$\because$ Denominator of fraction $\frac{20}{100}$ is 100, $\to$ Write the numerator as 20.0
$\to$ Shift the decimal point two places to the left in 20.0, since the denominator has two zeros (100)

$20.0\to 0.20$
$\Rightarrow \frac{20}{100}=\frac{20.0}{100}=0.20$
Option D is correct.