Question

How do you write $4{\displaystyle \frac{1}{5}}$ as a percent?

Answer 1

Hint:
In this question we have to convert the mixed fraction into a percent, first we have to convert the given mixed fraction into fraction, then convert the fraction into its equivalent decimal number, then the decimal number must be multiplied by 100, then we will get the required percent.

Complete step by step solution:
Given mixed fraction is $4{\displaystyle \frac{1}{5}}$,
Now convert the given fraction to an improper fraction, by converting the numerator will become,
$\Rightarrow 4\times 5+1$,
Now multiply the terms as multiplication should be done first and then add,
$\Rightarrow 20+1=21$,
Now the fraction will be equal to,
$\Rightarrow {\displaystyle \frac{21}{5}}$,
Now by dividing the numerator by denominator, we get,
$\Rightarrow 5)21(4.2$
          $\underset{―}{20}$
            $10$
              $\underset{―}{10}$,
                $0$
So quotient is 4.2, when we divide 21 by 5,
$\Rightarrow {\displaystyle \frac{21}{5}}=4.2$,
The decimal number will be 4.2,
Now multiply the decimal number with 100, we get,
$\Rightarrow 4.2\times 100={\displaystyle \frac{42}{10}}\times 100=420\mathrm{\%}$,
So, the equivalent percent is 420%.

$\therefore$ The equivalent percent for the given fraction $4{\displaystyle \frac{1}{5}}$ will be equal to $420\mathrm{\%}$.

Note:
Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. A fraction has two parts. The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken. The number below the line is called the denominator. It shows the total divisible number of equal parts the whole into or the total number of equal parts which are there in a collection.
Fraction can be represented by ${\displaystyle \frac{\text{numerator}}{\text{denominator}}}$,
The percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100. A percentage is a number that is represented as a fraction of 100.