Question

How do you convert \[\dfrac{2}{10}\] into a percent and decimal?

Answer 1

Hint: The decimal form of any fraction can be obtained by dividing the numerator of the fraction by the denominator of the fraction. And to find the decimal form of a fraction, multiply the decimal form of the fraction by 100. Assume that we have a fraction \[\dfrac{a}{b}\] the decimal form is the numerator \[\div \] denominator \[\Rightarrow a\div b\] is the decimal form of fraction. And the percent form of the fraction is \[\left( a\div b \right)\times 100\].

Complete step by step answer:
We are asked to convert \[\dfrac{2}{10}\] to its decimal and percent form. First, we will see how to convert a fraction into decimal form. Assume that we have a fraction \[\dfrac{a}{b}\] the decimal form is the numerator \[\div \] denominator \[\Rightarrow a\div b\] is the decimal form of fraction. So, for \[\dfrac{2}{10}\], the decimal form will be numerator \[\div \] denominator
\[\Rightarrow 2\div 10=0.2\]
Hence, the decimal form is \[0.2\].
The percent form of fraction can be obtained by multiplying the decimal form of fraction by 100. For fraction, \[\dfrac{a}{b}\] the percent form will be \[\left( a\div b \right)\times 100\]. So, for \[\dfrac{2}{10}\] the percent form will be
\[\Rightarrow \left( 2\div 10 \right)\times 100=0.2\times 100=20\]
As this is the percent form, we have to give the % sign after the obtained value. Hence, the percent form is \[20\%\].
So, the percent form and decimal form of fraction \[\dfrac{2}{10}\] is \[0.2\] and \[20\%\] respectively.

Note:
By simply remembering the steps any fraction can be written in its decimal and percent form. These types of problems are not too difficult but there is a possibility of making calculation mistakes, so it should be avoided. Don’t forget to give the \[\%\] after the percent form, else the answer will become incorrect.