Solution: 5 2/4 as a decimal is 5.5
Methods
First step – Making the fraction improper:
The first step to changing 5 2/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 4 and add its product to 2 in the numerator to get: 22/4. Now we will attempt to convert 22/4 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 22 by the denominator 4 (which you can enter in any calculator):
22 (numerator) ÷ 4 (denominator) = 5.5
And finally, you get 5.5 as your answer when you convert 5 2/4 (or 22/4) 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 21/49 as a decimal?
What is 8 2/17 as a decimal?
What is 5 17/26 as a decimal?
What is 10 9/3 as a decimal?