Q:

What is 6 31/11 as a decimal?

Accepted Solution

A:
Solution: 6 31/11 as a decimal is 8.82MethodsFirst step – Making the fraction improper:The first step to changing 6 31/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 11 and add its product to 31 in the numerator to get: 97/11. Now we will attempt to convert 97/11 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 97 by the denominator 11 (which you can enter in any calculator):97 (numerator) ÷ 11 (denominator) = 8.82And finally, you get 8.82 as your answer when you convert 6 31/11 (or 97/11) to a decimal. Practice more conversion problemsAll 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 24/31 as a decimal?What is 2 63/40 as a decimal?What is 4 28/16 as a decimal?What is 3 102/10 as a decimal?