Question

How do you write $ 8\dfrac{{11}}{{100}} $ as a percentage?

Answer 1

Hint: In this question, we need to write $ 8\dfrac{{11}}{{100}} $ as a percentage. The fraction given here is a mixed fraction, we will convert it into normal fraction. Then, we know that if we need to convert the number into percentage then the number or ratio is expressed as a fraction of $ 100 $ . By using this concept we will solve the given question.

Complete step-by-step answer:
Let us know what percentage is.
A percentage is a number or ratio expressed as a fraction of $ 100 $ . The percentage is often denoted by using the percentage sign $ \% $ . A percentage is a dimensionless number; it has no unit of measurement.
Now, we need to write $ 8\dfrac{{11}}{{100}} $ as a percentage.
First let us convert the mixed fraction into normal fraction i.e., $ 8\dfrac{{11}}{{100}} = \dfrac{{811}}{{100}} $ .
Here, $ \dfrac{{811}}{{100}} $ is already written in the form of percentage, as the number or ratio expressed as a fraction of $ 100 $ .
The decimal value of the $ \dfrac{{811}}{{100}} $ can be written as $ 8.11 $ .
So, the correct answer is “ $ 8.11 \% $ ”.

Note: The term percent means hundred or by the hundred; the sign for percent evolved by gradual contraction. Percentages are frequently used in everyday life. The symbol, $ \% $ , is used to compare values, quantify changes, and to calculate the amount represented by an increase or decrease. Percentages are simplified ways of expressing size, scale, or value. They are also useful for comparing information where the totals are different. By converting different data to percentages, we can readily compare them.