Question

How do you write \[\dfrac{{11}}{{15}}\] as a percent?

Answer 1

Hint: Here, we will first multiply the fraction by 100. We will then simplify it by dividing the numerator and denominator by a common factor. Then we will simplify the expression by using basic mathematical operations such as multiplication and division to get the required answer. The percentage is defined as a ratio representing a fraction of 100.

Complete step-by-step answer:
In order to convert a fraction into a percentage, we will multiply that fraction by 100.
Thus, we get,
\[\dfrac{{11}}{{15}} = \dfrac{{11}}{{15}} \times 100 = \dfrac{{11}}{3} \times 20\]
Now we will divide 11 by 3 to convert it to a decimal number. Therefore, we get
\[ \Rightarrow \dfrac{{11}}{{15}} = 3.666 \times 20\]
Multiplying the terms, we get
\[ \Rightarrow \dfrac{{11}}{{15}} = 73.320\]
Converting the decimal number into fraction, we get
\[\begin{array}{l} \Rightarrow \dfrac{{11}}{{15}} = \dfrac{{7332}}{{100}}\\ \Rightarrow \dfrac{{11}}{{15}} = 73.3\% \end{array}\]

Therefore, the given fraction \[\dfrac{{11}}{{15}}\] can be written as \[73.3\% \].
Thus, this is the required answer.

Additional information:
Percentage and fractions are generally used for comparing different quantities. A fraction is defined as the number of equal parts or in other words parts of a whole quantity. In real life, the percentage is the rate of change in dimensions of an object, a student’s marks in exams, etc.

Note:
We know that percent represents the number percent or the number per hundred and is represented by the symbol \[\%\]. If we have to find the percent of a number then we divide the number by the total number and then multiply the result by 100. Percentages can be represented in the decimal form or in the fractional form. The percentage has no dimension and its formula can be modified according to the value which has to be found out.