Question

Convert fraction into percentage:
A.\[\dfrac{4}{5}\]
B.\[\dfrac{3}{4}\]
C.\[\dfrac{7}{{10}}\]
D.\[\dfrac{{13}}{{20}}\]
E.\[4\dfrac{3}{5}\]
F.\[\dfrac{{19}}{{40}}\]

Answer 1

Hint: In this question, we need to evaluate the percentage equivalent of the fraction. For this, we will use the conversion method of fraction to percentages. Percentages are the numerical value of the fraction in the units of 100.

Complete step-by-step answer:
We will find the percentage of the given numbers in fraction form one by one
A.\[n = \dfrac{4}{5}\]
The given number is in fraction form whose numerator is 4 and denominator is 5 so we will first divide numerator by the denominator and multiply it by 100, we get
\[\Rightarrow n\% = \dfrac{4}{5} \times 100 = 80\% \]
B.\[ n = \dfrac{3}{4}\]
The given number is in fraction form whose numerator is 3 and denominator is 4 so we will first divide numerator by the denominator and multiply it by 100, we get
\[\Rightarrow n\% = \dfrac{3}{4} \times 100 = 75\% \]
C.\[ n = \dfrac{7}{{10}}\]
The given number is in fraction form whose numerator is 7 and denominator is 10 so we will first divide numerator by the denominator and multiply it by 100, we get
\[\Rightarrow n\% = \dfrac{7}{{10}} \times 100 = 70\% \]
D.\[ n = \dfrac{{13}}{{20}}\]
The given number is in fraction form whose numerator is 13 and denominator is 20 so we will first divide numerator by the denominator and multiply it by 100, we get
\[n\% = \dfrac{{13}}{{20}} \times 100 = 65\% \]
E.\[ n = 4\dfrac{3}{5}\]
The given number is in mixed fraction form so we will first convert it in simple fraction form and then we will find its percentage.
\[\Rightarrow n = 4\dfrac{3}{5} = \dfrac{{20 + 3}}{5} = \dfrac{{23}}{5}\]
Here numerator is 23 and denominator is 5 so we will first divide numerator by the denominator and multiply it by 100, we get
\[\Rightarrow n\% = \dfrac{{23}}{5} \times 100 = 460\% \]
F.\[ n = \dfrac{{19}}{{40}}\]
The given number is in fraction form whose numerator 19 and denominator is 40 so we will first divide numerator by the denominator and multiply it by 100, we get
\[\Rightarrow n\% = \dfrac{{19}}{{40}} \times 100 = 47.5\% \]

Note: To find the percentage of a number which are in the fraction form we divide the numerator of the given number by its denominator and then multiply it with 100 and we get the answer in the percentage form ‘%’. Students must note that if the numerator and denominator of the given fraction number is equal then the percentage of the number is 100%.