Solution: 9 15/11 as a decimal is 10.36
Methods
First step – Making the fraction improper:
The first step to changing 9 15/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 9 by 11 and add its product to 15 in the numerator to get: 114/11. Now we will attempt to convert 114/11 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 114 by the denominator 11 (which you can enter in any calculator):
114 (numerator) ÷ 11 (denominator) = 10.36
And finally, you get 10.36 as your answer when you convert 9 15/11 (or 114/11) 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 13 12/10 as a decimal?
What is 6 15/18 as a decimal?
What is 5 9/28 as a decimal?
What is 2 44/44 as a decimal?