Solution: 1 84/31 as a decimal is 3.71
Methods
First step – Making the fraction improper:
The first step to changing 1 84/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 31 and add its product to 84 in the numerator to get: 115/31. Now we will attempt to convert 115/31 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 115 by the denominator 31 (which you can enter in any calculator):
115 (numerator) ÷ 31 (denominator) = 3.71
And finally, you get 3.71 as your answer when you convert 1 84/31 (or 115/31) 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 2 9/33 as a decimal?
What is 25 1/6 as a decimal?
What is 1 6/30 as a decimal?
What is 1 9/26 as a decimal?