Solution: 2 22/8 as a decimal is 4.75
Methods
First step – Making the fraction improper:
The first step to changing 2 22/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 8 and add its product to 22 in the numerator to get: 38/8. Now we will attempt to convert 38/8 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 38 by the denominator 8 (which you can enter in any calculator):
38 (numerator) ÷ 8 (denominator) = 4.75
And finally, you get 4.75 as your answer when you convert 2 22/8 (or 38/8) 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 46/24 as a decimal?
What is 3 8/46 as a decimal?
What is 10 84/4 as a decimal?
What is 9 18/14 as a decimal?