Question

How do you write $ 2.5\% $ as a fraction?

Answer 1

Hint: We will convert the given number into fraction by multiplying the number with $ \dfrac{1}{{10}} $ . Now if the percentage doesn’t turn out to be a whole number, we will try to convert that number to decimal by multiplying or dividing the number by $ 10 $ . Reduce the term until it cannot be reduced any further.

Complete step-by-step answer:
We will start off by converting $ 2.5\% $ into fraction.
We can write $ 2.5% $ as $ \dfrac{{2.5}}{100} $ .
Now we divide $ 2.5 $ by $ 100 $ .
\[
   = \dfrac{{2.5}}{100} \\
   = \dfrac{{25}}{{1000}} \;
 \]
Now reduce the term until it cannot be reduced any further.
$
= \dfrac{{25}}{{1000}}\\
= \dfrac{{1}}{{40}}\;
$
Hence, the simplest form of $ 2.5\% $ is \[\dfrac{{\,1}}{{\,40}}\].
So, the correct answer is “ \[\dfrac{{\,1}}{{\,40}}\]. ”.

Note: While converting decimal into fraction, make sure you evaluate all the decimal terms properly and then only multiply by $ 10 $ to the numerator as well as denominator. While converting to percentage make sure you multiply by $ 100\% $ to the given term for the percentage. Do all the calculations precisely. While reducing the terms, reduce them until they cannot be reduced any further.