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# How do you convert $\dfrac{1}{5}$ into decimal and percentage?

Last updated date: 14th Jun 2024
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Hint: In this question we need to convert $\dfrac{1}{5}$ into decimal and percentage. First, we will convert $\dfrac{1}{5}$ into decimal. Thus, we will divide $1$ by $5$, using normal division. And then, we will determine the percentage of the given fraction by multiplying the decimal value by $100$ and add the percentage symbol to it.

Complete step-by-step solution:
Now, we need to convert $\dfrac{1}{5}$ into decimal and percentage.
First, let us convert $\dfrac{1}{5}$ into decimal.
Thus, we need to divide $1$ by $5$, using normal division.
$\Rightarrow \dfrac{1}{5} = 0.2$
Hence the fractional value of the fraction $\dfrac{1}{5}$ is $0.2$.
Now, let us convert $\dfrac{1}{5}$ into percentage.
To convert a decimal to a percent, all we have to do is to move the decimal point over to the right by two places and tack on a percentage sign.
As we know the decimal value of the given fraction,
$= 0.2 \times 100$
$= 20\%$
Hence the percentage value of the fraction $\dfrac{1}{5}$ is $20\%$.

Note: A fraction is made up of two parts namely, a numerator and a denominator. It is used to represent how many parts we have out of the total number of parts. The line in the fraction separates the numerator and denominator, which can be rewritten using the division symbol. To convert a fraction to a decimal, divide the numerator by the denominator. If required, we can use the calculator to do this. This will give us our answer in decimal.

To go from a decimal to a percent, all we have to do is to move the decimal point over to the right by two places. Don’t forget to tack on a percentage sign. In other hand, to convert a percentage to a decimal then, divide by $100$ and remove the percentage symbol.