Solution: 3 100/11 as a decimal is 12.09
Methods
First step – Making the fraction improper:
The first step to changing 3 100/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 11 and add its product to 100 in the numerator to get: 133/11. Now we will attempt to convert 133/11 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 133 by the denominator 11 (which you can enter in any calculator):
133 (numerator) ÷ 11 (denominator) = 12.09
And finally, you get 12.09 as your answer when you convert 3 100/11 (or 133/11) 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 1 85/39 as a decimal?
What is 3 36/36 as a decimal?
What is 2 41/40 as a decimal?
What is 4 122/5 as a decimal?