Question

How do you write \[\dfrac{24}{50}\] in percentage form?

Answer 1

Hint: In this problem, we have to find the percentage form from the given fraction. We can assume x percent to the given fraction, to find the percent value. x percent means ‘out of 100’ or ‘per 100’. Therefore, x percent can be written as \[\dfrac{x}{100}\] , we can assume this x percent to the given fraction and multiply 100 on both sides, cancel similar terms to get the percentage value.

Complete step-by-step solution:
We know that the given fraction to be converted in the percentage form is \[\dfrac{24}{50}\].
We know x percent means ‘out of 100’ or ‘per 100’. Therefore, x percent can be written as \[\dfrac{x}{100}\] .
We can also write this as \[\dfrac{x}{100}=x\%\] .
Now we can assume x percent to the given fraction, we get
\[\Rightarrow \dfrac{x}{100}=\dfrac{24}{50}\] ….. (1)
Now we can multiply by 100 on both the sides, we get
\[\Rightarrow 100\times \dfrac{x}{100}=100\times \dfrac{24}{50}\]
Now we can cancel the similar terms to get,
\[\Rightarrow x=2\times 24=48\]
Now we can substitute the above x value in (1), we get
\[\begin{align}
  & \Rightarrow \dfrac{48}{100}=\dfrac{24}{50} \\
 & \Rightarrow \dfrac{24}{50}=48\% \\
\end{align}\]
Therefore, the percentage form of \[\dfrac{24}{50}\] is \[48\%\].

Note: Students make mistakes in finding the value of x percent. We should understand the x percent as x percent means ‘out of 100’ or ‘per 100’. Therefore, x percent can be written as \[\dfrac{x}{100}\] .
We can also write this as \[\dfrac{x}{100}=x\%\] . We should also know that anything divided by 100 can be written as its percentage.