Solution: 3 9/23 as a decimal is 3.39
Methods
First step – Making the fraction improper:
The first step to changing 3 9/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 23 and add its product to 9 in the numerator to get: 78/23. Now we will attempt to convert 78/23 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 78 by the denominator 23 (which you can enter in any calculator):
78 (numerator) ÷ 23 (denominator) = 3.39
And finally, you get 3.39 as your answer when you convert 3 9/23 (or 78/23) 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 5 5/29 as a decimal?
What is 1 48/49 as a decimal?
What is 3 30/37 as a decimal?
What is 16 2/9 as a decimal?