Question

How do you convert \[20\% \] into a fraction in simplest form?

Answer 1

Hint:
A percentage is basically just another form of fraction. However, it is written in a specific format where the bottom number (denominator) is 'fixed' at $100$. It means $\dfrac{1}{{100}}$. "Percent" or "$\% $" means "out of $100$" or "per $100$". For example, $x\% $ can be written as $\dfrac{x}{{100}}$.

Complete step by step solution:
According to the given information, we have to turn \[20\% \]into a fractional form.
For that, firstly we need to write the given percentage as fraction by taking 100 as a denominator.
In this case, \[20\% \]is to be written as \[\dfrac{{20}}{{100}}\].
Now the fraction needs to be simplified further,
\[\therefore \dfrac{{20}}{{100}} = \dfrac{2}{{10}} = \dfrac{1}{5}\]

Therefore, \[20\% \] is equivalent to \[\dfrac{1}{5}\] in fractional form.

Additional Information:
In the process of converting percentage into fraction, we need to know that,
1. If \[\% ( < 100)\]it will form a proper fraction,
2. If \[\% ( > 100)\] an improper/ mixed fraction will be formed and,
3. If \[\% \]is in multiples of \[100\] then the obtained result will be an Integer.

Note:
A percentage is written in a specific format where the bottom number (denominator) is 'fixed' at $100$. To convert the percent into fraction, we need to write the given percentage as fraction by taking $100$ as a denominator and then simplify the given fraction if necessary.