Question

How do convert $ 0.8\% $ into a decimal and fraction?

Answer 1

Hint: In this question we need to determine the decimal and fraction of $ 0.8\% $ . First, we will determine the decimal by dividing the given percentage value by $ 100 $ and removing $ \% $ . Here, to convert a percent to a fraction, the first step is to convert it into a decimal, then to check it is a whole number if not, then we will multiply and divide the decimal over its place value. Here the place value is thousand.

Complete step-by-step answer:
Here, we need to convert $ 0.8\% $ into a decimal and fraction.
Generally, converting percentage into a decimal is done by dividing the given percentage by $ 100 $ and removing $ \% $ .
Now, let us convert $ 0.8\% $ into decimal,
 $ = \dfrac{{0.8}}{{100}} $
 $ = 0.008 $
Hence, the decimal value of $ 0.8\% $ is $ 0.008 $ .
Now, let us convert $ 0.008 $ into a fraction.
Generally, to convert a decimal into fraction, place the decimal over its place value.
Now, the place value of $ 0.008 $ is thousand. Since, we have three numbers after the decimal point.
Therefore, let us multiply and divide by $ 1000 $ .
Thus, we have,
 $ = $ $ 0.008 \times \dfrac{{1000}}{{1000}} $
 $ = \dfrac{8}{{1000}} $
 $ = \dfrac{1}{{125}} $
Hence, the fraction of $ 0.8\% $ is $ \dfrac{1}{{125}} $ .
So, the correct answer is “ $ \dfrac{1}{{125}} $ ”.

Note: To convert a percentage to a decimal then, divide by $ 100 $ and remove the percentage symbol. On the other hand, to go from a decimal to a percent, all we have to do is to move the decimal point over to the right by two places. Don’t forget to tack on a percentage sign.
The given decimal is called the terminating decimal. The terminating decimals are defined as the decimals that have a finite number of digits after the decimal point.
To convert the decimal to a fraction, first write the decimal divided by one. Next, we want to multiply both the top and bottom of the new fraction by $ 10 $ for every digit to the left of the decimal point. Finally we need to reduce the fraction to its simplest.