Question

Express the following fractions as a percentage.
A. \[\dfrac{3}{4}\]
B. \[\dfrac{4}{20}\]
C. \[\dfrac{1}{2}\]
D. \[\dfrac{3}{5}\]

Answer 1

Hint: In this problem, we have to find the percentage for the given fractions. We can first convert the fraction into its decimal form. We know that a decimal value can be converted into its percentage by multiplying the number 100 to it. We can then find the percentage of the given fraction.

Complete step-by-step answer:
Here we have to find the percentage of the given fractions.

A. \[\dfrac{3}{4}\]
 We can now convert the above fraction into its decimal by dividing it, we get
\[\Rightarrow \dfrac{3}{4}=0.75\]
We can see that, we got a decimal number which can be multiplied with 100 to get a percentage, we get
\[\Rightarrow 0.75\times 100=75\%\]
Therefore, the percentage of the given fraction \[\dfrac{3}{4}\] is \[75\%\].

B. \[\dfrac{4}{20}\]
We can now convert the above fraction into its decimal by dividing it, we get
\[\Rightarrow \dfrac{4}{20}=0.2\]
We can see that, we got a decimal number which can be multiplied with 100 to get a percentage, we get
\[\Rightarrow 0.2\times 100=20\%\]
Therefore, the percentage of the given fraction \[\dfrac{4}{20}\] is \[20\%\].

C.\[\dfrac{1}{2}\]
We can now convert the above fraction into its decimal by dividing it, we get
\[\Rightarrow \dfrac{1}{2}=0.5\]
We can see that, we got a decimal number which can be multiplied with 100 to get a percentage, we get
\[\Rightarrow 0.5\times 100=50\%\]
Therefore, the percentage of the given fraction \[\dfrac{1}{2}\] is \[50\%\].

D. \[\dfrac{3}{5}\]
We can now convert the above fraction into its decimal by dividing it, we get
\[\Rightarrow \dfrac{3}{5}=0.6\]
We can see that, we got a decimal number which can be multiplied with 100 to get a percentage, we get
\[\Rightarrow 0.6\times 100=60\%\]
Therefore, the percentage of the given mixed fraction \[\dfrac{3}{5}\] is \[60\%\].

Note: We should also remember that the decimal number is converted into its percentage by multiplying the number 100 to it. We should also concentrate on moving the decimal points when multiplied. We have to move it to the right side when being multiplied.