Question

How do you convert $ 0.15625 $ into a percentage and fraction?

Answer 1

Hint: In this question we need to determine the percentage and fraction of $ 0.15625 $ . First, we will determine the percentage by multiplying the decimal value by $ 100 $ and adding $ \% $ . Then, we will convert a decimal into fraction, by placing the decimal over its place value. Here it is 1lakh.

Complete step-by-step answer:
Here, we need to convert $ 0.15625 $ into a percentage and fraction.
Generally, converting a decimal to a percentage is done by multiplying the decimal value by $ 100 $ and adding $ \% $ .
Now, let us convert $ 0.15625 $ into percentage,
 $ = 0.15625 \times 100 $
 $ = 15.625\% $
Hence, the percentage of $ 0.15625 $ is $ 15.625\% $ .
Now, let us convert $ 0.15625 $ into a fraction.
Generally, to convert a decimal into fraction, place the decimal over its place value.
Now, the place value of $ 0.15625 $ is 1lakh. Since, we have five numbers after the decimal point.
Therefore, let us multiply and divide by $ 1,00,000 $ .
Thus, we have,
 $ = $ $ 0.15625 \times \dfrac{{100000}}{{100000}} $
 $ = \dfrac{{15625}}{{100000}} $
 $ = \dfrac{5}{{32}} $
Hence, the fraction of $ 0.15625 $ is $ \dfrac{5}{{32}} $ .
So, the correct answer is “ $ \dfrac{5}{{32}} $ ”.

Note: 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. On the other hand, if we need to convert a percentage to a decimal then, divide by $ 100 $ and remove the percentage symbol.
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.