Solution: 3 23/22 as a decimal is 4.05
Methods
First step – Making the fraction improper:
The first step to changing 3 23/22 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 22 and add its product to 23 in the numerator to get: 89/22. Now we will attempt to convert 89/22 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 89 by the denominator 22 (which you can enter in any calculator):
89 (numerator) ÷ 22 (denominator) = 4.05
And finally, you get 4.05 as your answer when you convert 3 23/22 (or 89/22) 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 1 57/38 as a decimal?
What is 2 19/49 as a decimal?
What is 3 6/42 as a decimal?
What is 7 75/9 as a decimal?