Question

How do you convert \[\dfrac{1}{5}\] into a decimal and percent?

Answer 1

Hint: Given number is a fraction. and we can convert it into decimal to fraction just by dividing a number 1 by 5. And then convert a fraction to percent by first dividing the numerator by the denominator. Then multiply the decimal by \[100\] .

Complete step by step solution:
The given fraction is \[\dfrac{1}{5}\]
First we need to find the decimal number of the given fraction. Since the given fraction is already in its simplest form, we can divide.
Now on dividing 1 by 5 we get \[0.2\] .
Hence the decimal of \[\dfrac{1}{5}\] is 0.2.
Now we need to find the percentage.
Now we have to convert \[\dfrac{1}{5} = 0.2\] to percent by multiplying \[0.2\] with \[100\] . That is we can multiply 100 to the fraction or the obtained decimal point.
We get
 \[ \Rightarrow 0.2 \times 100\]
 \[ = 20\]
That is \[ 20\% \]
Therefore, the converted value of \[\dfrac{1}{5} = 20\% \] (in percent)
And the converted value of \[\dfrac{1}{5} = 0.2\] (in decimals)

Note: In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. and fractions are the numerical values that are a part of the whole. if a number or a thing is divided into equal parts, then each part will be the fraction of the whole.