Question

How do you convert -0.33 into a fraction and percent?

Answer 1

Hint: To convert -0.33 into fraction count the numbers after the point then, the denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal. Then, we replace the decimal with 1 in the denominator and write zero for each number after the decimal. To convert it into a percentage multiply the fraction by 100.

Complete step by step solution:
A decimal fraction can be defined as the fraction in which the denominator of any rational number is in the power of 10 such as 10,100,1000 etc. depending on the number of digits after the decimal. The denominator can be calculated by \[{10^n}\] where $n$ is the number of digits after the decimal.
As it is given in the question, we have to convert -0.33 into a fraction. So, there are two digits after the decimal in -0.33.
Therefore, the denominator can be calculated as –
$ \Rightarrow {10^2} = 100$
Hence, the number in the denominator will be 100. So, we have to replace the decimal with 1 in the denominator and write zero for each number after the decimal.
Therefore, the fraction can be written as –
$ \Rightarrow - \dfrac{{33}}{{100}}$
which is in the fractional form but it should be in the simplest form. So, we will convert the above fraction into its simplest form.
So, find the common factor of 33 and 100. Since there are no common factors for 33 and 100. Therefore, it cannot be further simplified.
Now, to convert any fraction into percentage form, we just multiply that fraction by 100. So, -
$
   \Rightarrow \dfrac{{ - 33}}{{100}} \times 100 \\
   \Rightarrow - 33\% \\
 $

Hence, this is the required fraction is $\dfrac{{ - 33}}{{100}}$ and required percentage form is $ - 33\% $

Note:
The percentage is the expression of the number as a fraction of 100. When any number is to be converted in the form of a percentage then, we can multiply it with 100 and then the percent sign after it. Before, converting a fraction into a percentage, try to simplify that fraction.