Q:

What is 3 21/31 as a decimal?

Accepted Solution

A:
Solution: 3 21/31 as a decimal is 3.68 Methods First step – Making the fraction improper: The first step to changing 3 21/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 31 and add its product to 21 in the numerator to get: 114/31. Now we will attempt to convert 114/31 to a decimal using the following method: Explanation using the division method: A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 114 by the denominator 31 (which you can enter in any calculator): 114 (numerator) ÷ 31 (denominator) = 3.68 And finally, you get 3.68 as your answer when you convert 3 21/31 (or 114/31) to a decimal. Practice more conversion problems All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go: What is 3 16/44 as a decimal? What is 1 60/37 as a decimal? What is 10 9/14 as a decimal? What is 1 91/50 as a decimal?