Solution: 3 11/33 as a decimal is 3.33
Methods
First step – Making the fraction improper:
The first step to changing 3 11/33 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 33 and add its product to 11 in the numerator to get: 110/33. Now we will attempt to convert 110/33 to a decimal using the following method:
Explanation using the division method:
One method to convert 110/33 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 110 by the denominator 33:
110 (numerator) ÷ 33 (denominator) = 3.33
And there you go! We got 3.33 as the answer when you convert 3 11/33 (or 110/33) 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:
What is 28 8/5 as a decimal?
What is 3 8/42 as a decimal?
What is 1 39/40 as a decimal?
What is 7 6/12 as a decimal?