Solution: 13 3/11 as a decimal is 13.27
Methods
First step – Making the fraction improper:
The first step to changing 13 3/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 13 by 11 and add its product to 3 in the numerator to get: 146/11. Now we will attempt to convert 146/11 to a decimal using the following method:
Explanation using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 146 by the denominator 11 (which you can enter in any calculator):
146 (numerator) ÷ 11 (denominator) = 13.27
And finally, you get 13.27 as your answer when you convert 13 3/11 (or 146/11) to a decimal.
Practice more conversion 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 3 14/39 as a decimal?
What is 2 26/45 as a decimal?
What is 2 80/10 as a decimal?
What is 6 1/23 as a decimal?