Question

How do you write \[\dfrac{4}{5}\] as a percent?

Answer 1

Hint:
The given question is to convert the given fraction into percent for conversion of fraction to percentage. The rule for that is to multiply the given fraction with \[100\] and hence the number got is equivalent to the percentage of the given fraction.

Complete step by step solution:
 In the question, we had asked to convert the given fractional number into the percentage fractional number is the number which can be written as rational number where proper fraction and the improper fraction are the two types of proper fraction and the improper fraction are the two types of proper fraction. The given question is to convert the given fraction into the percentage.
The formula or rule to convert decimal or fraction into percent is to multiply the given number in decimal or fraction with \[100\] and hence the number obtained in the percentage equivalent to the number in decimal as well as in the fraction either it is proper fraction or improper fraction. Now the question is to convert \[\dfrac{4}{5}\] into percent which means we have to convert fraction to percentage. Therefore the fraction is to be converted to percent.
So, \[\dfrac{4}{5}\]is to be converted to percentage for this we have to multiply \[\dfrac{4}{5}\]by \[100\] which is the rule to convert fraction to \[\dfrac{4}{5}\]\[ \times 100\% \]
Which becomes \[\dfrac{{400}}{5}\% \]
Because \[4\] when multiplied by \[100\], we get \[400\]
So on writing the factor of \[400\]
We get \[400 = 80 \times 5\]
So we get \[\dfrac{{400}}{5}\% = \dfrac{{80 \times 5}}{5}\% \]
Where \[5\] in the numerator is cancelled with \[5\] in denominator
And hence we get \[80\% \]

Therefore \[\dfrac{4}{5}\]is equivalent to \[80\% \]

Note:
The given question was to convert the given number in fraction to the percent. The rule for this conversion is to multiply the given number in fraction by \[100\]. If the number is in decimal then the conversion for any type of number to percentage, we have to multiply the number in decimal or in fraction with\[100\].