Question

What is $\dfrac{11}{25}$ as a percentage?

Answer 1

Hint: To change a given fraction into percentage we will multiply it with 100 and add a percentage (%) sign in the end. Now, we will see if common factors are present or not that can be cancelled. If it is present then we will simplify the obtained result by cancelling the common factors so that we get the simplest form of it.

Complete step by step solution:
Here we have been provided with the fraction $\dfrac{11}{25}$ and we are asked to convert it into the percentage form. Let us see how to convert a fraction into percentage.
In mathematics, percentage represents a number or ratio as a fraction of 100. For example: if we say x% then it means x parts out of 100 parts. Fraction also denotes a part in a whole collection but here the total part in the collection is not necessarily 100. For example: if we write $\dfrac{x}{y}$ that means in a collection which has a total of y parts we have only considered x parts.
Now let us come to the question, we have the fraction $\dfrac{11}{25}$ that means we have 11 part in a total of 25 parts collection and we need to determine the parts if we consider the total parts as 100. So we have,
$\Rightarrow $ Number of parts in a total of 25 parts collection = 11
$\Rightarrow $ Number of parts in a total of 1 part collection = $\dfrac{11}{25}$
$\Rightarrow $ Number of parts in a total of 100 parts collection = $\dfrac{11}{25}\times 100=\dfrac{1100}{25}$
On simplifying by cancelling the common factors we get,
$\begin{align}
 & \Rightarrow \dfrac{1100}{25}=\dfrac{44}{1} \\
 & \therefore \dfrac{1100}{25}=44 \\
\end{align}$

Hence $\dfrac{11}{25}$ represents 44%.

Note: Remember the basic definition of percentage and fraction. You must know the inter-conversion relation of fractions, decimals and percentages. In the above question we have converted a fraction into the percentage. Now, if you want to convert a percentage into the fraction then apply the reverse process and just divide the given percentage by 100 and remove the percent sign to get the answer.