Question

How do you convert $ 50\% $ into a fraction in the simplest form?

Answer 1

Hint: First for the question to be solved remember that whenever in a question there is talk about percentage that it is taken out of hundred . so whenever someone says that something is $ x\% $ it means that the amount is $ x $ out of $ 100 $ . Also when a fraction is asked to be written as the simplest fraction the numerator and denominator are cancelled with each other to the point where there are not any common factors left between the numerator and denominator. Thus when $ 50\% $ is asked we write the fraction of it as,
 $ \dfrac{{50}}{{100}} $
And we will cancel it to achieve the final answer.

Complete step by step solution:
The given question asks us to find the simplest fraction first we will write the percentage in the fraction form. The percentage to fraction conversion becomes
 $ \dfrac{{50}}{{100}} $
Upon solving it further and dividing both the numerator and denominator by $ 50 $ we get,
 $\Rightarrow \dfrac{1}{2} $
Which is our final answer. Thus we have expressed the given percentage in the fraction form with the simplest fraction.
So, the correct answer is “ $ \dfrac{1}{2} $ ”.

Note: Whenever percentage is written divide the given amount of percentage by the number $ 100 $ . So if a given percentage $ x $ is given we can write the fraction as,
 $ \dfrac{x}{{100}} $ . The percent word in itself means “per” “cent” which means per hundred and hence the number $ 100 $ . When the simplest fraction is asked just keep on cancelling the numerator and denominator with each other, until the simplest form of the fraction is reached where they could not cancel each other any further.