Question

How do you write \[\dfrac{{19}}{{20}}\] as a percent?

Answer 1

Hint: This is the given number is in fraction form. It is having a numerator and denominator. As we need to convert them into percentage, we will multiply it with 100. This is because this fraction is a part of the whole so we will find what part it is of 100%. So we will simply multiply it with 100 and simplify the fraction to simplest form.

Complete step by step solution:
Given the fraction is,
\[\dfrac{{19}}{{20}}\]
Now multiply it by 100,
\[ = \dfrac{{19}}{{20}} \times 100\]
Now we can divide by 20,
\[ = 19 \times 5\]
On multiplying we get,
\[ = 95\% \]
This is the correct answer.
\[\dfrac{{19}}{{20}} = 95\% \]
So, the correct answer is “95%”.

Note: Note that we can also cross verify that if the numerator was 20 instead of 19 then it would have 100%. So our answer should be near to it. Don’t forget to write the symbol of percentage. If a percentage is given and needs to be converted into a fraction we just divide the number by 100. And we write the fraction in simplest form.