Question

How do you convert $0.072$ into a fraction and percent?

Answer 1

Hint: Here we have been asked to convert the given number $0.072$ to convert into fraction and percent. For converting into fraction we will have to write it as $\Rightarrow 72\times {{10}^{-3}}=\dfrac{72}{1000}$ and simplify it. For percentage we will write it as $\Rightarrow 72\times {{10}^{-5}}\times 100=72\times {{10}^{-5}}\%$ and simplify it.

Complete step-by-step solution:
Now considering from the question we need to convert the given number $0.072$ to convert into fraction and percent.
From the basic concepts we know that fraction is in the form of $\dfrac{p}{q}$ where $p,q$ are integers and $q\ne 0$ .
Now by doing that we can write this as $\Rightarrow 72\times {{10}^{-3}}=\dfrac{72}{1000}$ and we need to simplify it.
After simplifying this we will have
$\begin{align}
  & \Rightarrow \dfrac{36}{500} \\
 & \Rightarrow \dfrac{18}{250} \\
 & \Rightarrow \dfrac{9}{125} \\
\end{align}$
Therefore we can conclude that the number $0.072$ can be expressed as fraction as $\dfrac{9}{125}$ .
Now we need to convert this number $0.072$ to percent form by multiplying it with $100$ after that we will have
$\begin{align}
  & \Rightarrow \dfrac{9}{125}\times 100\% \\
 & \Rightarrow \dfrac{9}{25}\times 20\% \\
 & \Rightarrow \dfrac{9}{5}\times 4\% \\
 & \Rightarrow \dfrac{36}{5}\% \\
\end{align}$
Therefore we can conclude that the number $0.072$ can be expressed as percent as $\dfrac{36}{5}\%$ .
So we can say that the number $0.072$ expressed as a fraction $\dfrac{9}{125}$ and percent is $\dfrac{36}{5}\%$ .

Note: We should be sure with the concepts and calculations we make during the solution of the questions of this type. Similarly we can express any number in the form of fractions and percentages. For this number we can express it in the scientific notation form. The general scientific notation is in the form of $a\times {{10}^{b}}$ or in the exponents of $e$ . For this number $0.072$ the scientific notation is given as $7.2\times {{10}^{-2}}$ or ${{e}^{-2.631}}$ .