Question

How do you express $ 0.25 $ as a fraction in its simplest form?

Answer 1

Hint: We will convert the given number into fraction and then into percentage by multiplying the number with $ \dfrac{1}{{100}} $ . 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 $

Complete step-by-step answer:
We will start off by converting $ 0.25 $ into fraction.
We can write $ 0.25 $ as $ \dfrac{{0.25}}{1} $ .
Now we multiply and divide $ 0.25 $ by $ 100 $ .
\[
   = \dfrac{{0.25}}{1} \\
   = \dfrac{{25}}{{100}} \;
 \]
Now reduce the term until it cannot be reduced any further.
We can write $ 100 $ as $ \,25 \times 4 $ .
\[
   = \dfrac{{\,25 \times 1}}{{\,25 \times 4}} \\
   = \,\dfrac{{\,1}}{{\,4}} \;
 \]
Hence, the simplest form of $ 0.25 $ is $ \dfrac{1}{4} $ .
So, the correct answer is “$ \dfrac{1}{4} $”.

Note: Percentage is always based off of $ 100\% $ , so decimals up to the hundredths place will always be integers, and the numbers after the hundredths place will be after the decimal. The tens place in the percent will always be in the tenths place in decimal form as well. To convert from decimals to percentage, you will multiply by $ 100 $ , which gives you the percentage equivalent of the percent. While converting from decimal to fraction, we will multiply both the numerator and denominator by $ 10 $ .