Solution: 4 3/33 as a decimal is 4.09
Methods
First step – Making the fraction improper:
The first step to changing 4 3/33 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 33 and add its product to 3 in the numerator to get: 135/33. Now we will attempt to convert 135/33 to a decimal using the following method:
Explanation using the division method:
One method to convert 135/33 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 135 by the denominator 33:
135 (numerator) ÷ 33 (denominator) = 4.09
And there you go! We got 4.09 as the answer when you convert 4 3/33 (or 135/33) 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:
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What is 4 3/36 as a decimal?