Question

What number is $\dfrac{3}{4}\%$ of $16$?

Answer 1

Hint: Here, we have to calculate $\dfrac{3}{4}\%$ of $16$ . In mathematics, a percentage is a number or ratio that represents a fraction of $100$. Since $\dfrac{3}{4}\%$ is in a fraction form. So don't be confused, we'll solve it by the same procedure as we solved another without fraction numbers.
 Here we can write$\dfrac{3}{4}\%$ as also $\dfrac{\dfrac{3}{4}}{100}$ .

Complete step by step solution:
In order to find the value of above question, we will follow some steps which are:
1 First we will multiply the number which is in percentage and the number value we have to find.
2. Then we will divide the above upcoming value with $100$.
Now, let n be the number which we have to calculate,
Now multiply $\dfrac{3}{4}$ with $16$ and then divide it with $100$, then we get
$\Rightarrow n=\dfrac{\dfrac{3}{4}\times 16}{100}$
Now simplifying it, then we get
$\begin{align}
  & \Rightarrow n=\dfrac{12}{100} \\
 & \Rightarrow n=0.12 \\
\end{align}$

Hence we get $0.12$ is $\dfrac{3}{4}\%$ of $16$.

Note: Sometimes we get confused in these types of questions. Sometimes the question may be changed and it may be like $\dfrac{3}{4}$ is what percent of $16$? It is quite similar to the given question, but this question is different from the above question. Here the question is asking for the percentage value but in the given question, it was asking for value of $\dfrac{3}{4}\%$ of $16$. If we calculate the value of $\dfrac{3}{4}$ is what percent of $16$ is $4.6875\%$ . But the answer to the given question is $0.12$ . So always make sure that what the question is asking for.