Solution: 36 3/4 as a decimal is 36.75
Methods
First step – Making the fraction improper:
The first step to changing 36 3/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 36 by 4 and add its product to 3 in the numerator to get: 147/4. Now we will attempt to convert 147/4 to a decimal using the following method:
Explanation using the division method:
One method to convert 147/4 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 147 by the denominator 4:
147 (numerator) ÷ 4 (denominator) = 36.75
And there you go! We got 36.75 as the answer when you convert 36 3/4 (or 147/4) 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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