Solution: 11 5/13 as a decimal is 11.38
Methods
First step – Making the fraction improper:
The first step to changing 11 5/13 into a decimal is to change it to an improper fraction. To do that, we need to multiply 11 by 13 and add its product to 5 in the numerator to get: 148/13. Now we will attempt to convert 148/13 to a decimal using the following method:
Explanation using the division method:
One method to convert 148/13 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 148 by the denominator 13:
148 (numerator) ÷ 13 (denominator) = 11.38
And there you go! We got 11.38 as the answer when you convert 11 5/13 (or 148/13) 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 5 3/22 as a decimal?
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What is 4 1/37 as a decimal?