Question

How do you convert \[\dfrac{4}{25}\] in decimal and percent ?

Answer 1

Hint: In the above question you were asked to convert \[\dfrac{4}{25}\] in decimal and percent. We know that percent is calculated against 100. And, for the decimal, the denominator 25 should be completely divided by numerator number 4. So let us see how we can solve this problem.

Complete step by step solution:
In the given question we were asked to convert \[\dfrac{4}{25}\] into decimal and percent.
So \[\dfrac{4}{25}\] in decimal can be calculated as below,
\[25\overset{0.16}{\overline{\left){\begin{align}
  & 40 \\
 & \underline{25} \\
 & 150 \\
 & \underline{150} \\
 & 000 \\
\end{align}}\right.}}\]
We can write \[\dfrac{4}{25}\] as 0.16 .
To get the percent value we have to multiply the given value with 100, as follows,
For this case, we get:
\[\Rightarrow \] Percentage form of \[\dfrac{4}{25}\]
\[\Rightarrow \dfrac{4}{25}\times 100=\dfrac{400}{25}=16\%\]
Hence, we converted the number \[\dfrac{4}{25}\] into 0.16 and percent as \[16\%\].

Note: In the whole number, the fraction part is denoted with a decimal point. Also, note that when a fraction is solved we always get a decimal number. In the above solution, we get a proper fraction because the numerator is smaller than the denominator.