Question

How do you express $\dfrac{1}{5}$ as a percentage?

Answer 1

Hint: Fractions are the part of the whole. Generally, it represents any number of equal parts and it describes the part from a certain size whereas percentage is the number or ratio expressed as a fraction of a hundred. Know the difference between the fraction and the percentage and apply accordingly.

Complete step-by-step solution:
Take the given expression: $\dfrac{1}{5}$
It can be expressed as the percentage when the given expression is multiplied with $100\% $
$\Rightarrow \left( {\dfrac{1}{5} \times 100\% } \right)$
Find the factors for the term on the part of the numerator.
$\Rightarrow \left( {\dfrac{1}{5} \times 5 \times 20\% } \right)$
Common factors from the numerator and the denominator cancels each other. Therefore, remove from the numerator and the denominator and then simplify the above equation.
$ \Rightarrow 20\% $

Hence, the required solution is $\dfrac{1}{5}$ can be expressed as $20\% $

Additional Information: To convert decimal into fraction, place the decimal number over its place value. For example, for $0.2$ the two is in the tenths place so that we place $2$ over $10$ to create the equivalent fraction i.e. $\dfrac{2}{{10}}$ and similarly if there is two digits after decimal point, for $0.25$ the $25$ is in the hundredths place so that we place $25$ over $100$ to create the equivalent fraction i.e. $\dfrac{{25}}{{100}}$.

Note: Be careful while simplifying equations and always remember when its percentage is with respect to hundred. Convert the decimal point in the form of fraction. Always remember that percentage is always based off $100\% $ so the decimals up to the hundredths place will always be integers and the numbers after the hundredths place will be after the decimal and the tens place in the percentage will always be in the tenths place in the decimal form as well.