Question

Which of the following fractions is written as $0.5$ in decimal form.

• A. $\frac{4}{5}$
• B. $\frac{3}{5}$
• C. $\frac{2}{5}$
• D. $\frac{1}{2}$

Answer 1

The correct option is D

$\frac{1}{2}$

The explanation for Correct Answer :

Option D : $\frac{1}{2}$

In order to convert $\frac{1}{2}$ in the decimal , we will multiply the numerator and denominator by $5$ .

$$\begin{gathered} \Rightarrow \frac{1\times 5}{2\times 5} \\ \Rightarrow \frac{5}{10} \\ \Rightarrow 0.5 \end{gathered}$$

Therefore, $\frac{1}{2}$ can be represented as $0.5$ .

The explanation for Incorrect Answer :

Option A :$\frac{4}{5}$

The decimal representation of $\frac{4}{5}$ is :

$$\begin{gathered} \Rightarrow \frac{4\times 2}{5\times 2} \\ \Rightarrow \frac{8}{10} \\ \Rightarrow 0.8 \end{gathered}$$

Therefore , $\frac{4}{5}$ can be represented as $0.8$ .

Explanation for Incorrect Answer :

Option B :$\frac{3}{5}$

The decimal representation of $\frac{3}{5}$ is :

$$\begin{gathered} \Rightarrow \frac{3\times 2}{5\times 2} \\ \Rightarrow \frac{6}{10} \\ \Rightarrow 0.6 \end{gathered}$$

Therefore, $\frac{3}{5}$ can be represented as $0.6$ .

The explanation for Incorrect Answer :

Option C :$\frac{2}{5}$

The decimal representation of $\frac{2}{5}$ is :

$$\begin{gathered} \Rightarrow \frac{2\times 2}{5\times 2} \\ \Rightarrow \frac{4}{10} \\ \Rightarrow 0.4 \end{gathered}$$

Therefore , $\frac{2}{5}$ can be represented as $0.4$ .

Hence, option D is the correct answer.