Question

How do you convert 0.044 into a percent and fraction?

Answer 1

Hint: As the given number is a decimal number and we have to write it into a percent and fraction form. We know that a number of the form $\dfrac{p}{q}$ is the fraction number and percentage is the number or ratio which represents a fraction of 100. By using these concepts we will solve the question.

Complete step-by-step solution:
We have been given a number 0.044.
We have to convert it into a percent and fraction.
We know that a number written as $\dfrac{p}{q}$ is known as the fraction where, p is the numerator and q is the denominator of the fraction. To convert a decimal number into fraction we have to write the decimal number over its place value. Then we will get
$\Rightarrow 0.044=\dfrac{44}{1000}$
Now, simplifying the above fraction we will get
\[\begin{align}
  & \Rightarrow \dfrac{4\times 11}{4\times 250} \\
 & \Rightarrow \dfrac{11}{250} \\
\end{align}\]
Now, we know that for converting the decimal into percentage we need to multiply the number by 100 and add the $\%$ sign after that. Then we will get
$\Rightarrow 0.044\times 100$
Now, simplifying above equation we will get
$\Rightarrow 4.4\%$
Hence we get the required percentage and fraction values.

Note: The point to be remembered is that it is necessary to add a percentage sign after conversion of decimal into percentage. Percentage of a number is always calculated out of 100 or per 100. Also if a whole number is given and we need to convert it into a fraction we just add 1 as the denominator to make it a fraction number.