Question

How to convert a fraction into a percentage?
$(i)\dfrac{3}{{25}}$
$(ii)\dfrac{4}{5}$
$(iii)\dfrac{3}{4}$
$(iv)\dfrac{2}{3}$
$(v)1$

Answer 1

Hint: First we have to define what the terms we need to solve the problem are. Now we are going to use a percentage formula to find the amount or share of something in terms of $100$.
Formula used:
The percentage formula is given by: Percentage = given value divided by total value $ \times 100$

Complete step-by-step solution:
Fraction means it will consist of Numerator which is written above the line and denominator means it will consist of which is written below the line. Now we solve the given problem as per the above steps:
Fractions from the given question can be written as which have a denominator that is a factor of $100$ are easy to write as the percent.
Step1: Convert the given fraction into an equivalent decimal number
Step2: After step 1 now we obtained a decimal number which is multiplied by $100$, to get the required percent value.
$(i)\dfrac{3}{{25}}$ First, divide this we get $\dfrac{3}{{25}} = 0.12$
Thus, this fraction can be written with $100$ as the denominator: $\dfrac{{12}}{{100}}\times 100 = 12\% $
$(ii)\dfrac{4}{5}$ First, divide this we get $\dfrac{4}{5} = 0.8$
Thus, this fraction can be written with $100$ as the denominator: $\dfrac{{80}}{{100}}\times 100 = 80\% $
$(iii)\dfrac{3}{4}$ first, divide this we get $\dfrac{3}{4} = 0.75$
Thus, this fraction can be written with $100$ as the denominator: $\dfrac{{75}}{{100}}\times 100 = 75\% $
$(iv)\dfrac{2}{3}$ first, divide this we get $\dfrac{2}{3} = 0.666....$
Thus, this fraction can be written with $100$ as the denominator: $\dfrac{{66.66...}}{{100}}\times 100 = 66.66..\% $ However, the recurring decimal $.6666....$is equal to $\dfrac{2}{3}$
$(v)1$ is the overall percentage and thus can be written as a fraction with 100 as the denominator $\dfrac{100}{{100}}\times 100 = 100\% $

Note: Fractions are converted to their resultant decimal numbers using the following;
The numerator of a fraction is divided by its denominator and the quotient obtained after division is the decimal equivalent of a given fraction. The denominator of a fraction will never be zero. if zero exists then it will be undefined.