Solution: 3 52/23 as a decimal is 5.26
Methods
First step – Making the fraction improper:
The first step to changing 3 52/23 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 52 in the numerator to get: 121/23. Now we will attempt to convert 121/23 to a decimal using the following method:
Explanation using the division method:
One method to convert 121/23 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 121 by the denominator 23:
121 (numerator) ÷ 23 (denominator) = 5.26
And there you go! We got 5.26 as the answer when you convert 3 52/23 (or 121/23) to a decimal.
Practice more 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:
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What is 3 23/38 as a decimal?