Question

How do you write \[\dfrac{{15}}{{25}}\] as a percentage?

Answer 1

Hint: We have a simple fraction. We know that the percentage is denoted by \[\% \] . The term percent represents how many parts of 100 quantities. If we need to convert the fraction into percentage all we need to do is multiply the given fraction by 100.

Complete step-by-step answer:
Percentage are the numerators of the fractions with denominator 100. That is \[5\% = \dfrac{5}{{100}}\] . If we want to convert ratios into percentage, we first express the number as a fraction then we multiply it by 100. If we want to convert decimal into percentage we simply multiply the decimal by 100.
Given \[\dfrac{{15}}{{25}}\] .
To convert the given fraction into percent we multiply it by 100.
 \[ \Rightarrow \dfrac{{15}}{{25}} \times 100\]
 \[ \Rightarrow 15 \times 4\]
 \[ \Rightarrow 60\% \] . This is the required answer.
So, the correct answer is “ \[ 60\% \] ”.

Note: We can simplify the given fraction to decimal.
 \[\dfrac{{15}}{{25}} \Rightarrow \dfrac{3}{5}\] That is dividing the numerator and the denominator by 5.
On further simplification
 \[\dfrac{{15}}{{25}} \Rightarrow \dfrac{3}{5} \Rightarrow 0.6\] .
Now we multiply the obtained decimal by 100,
 \[ \Rightarrow 0.6 \times 100 = 60\% \] . In both the cases we have the same answer.