Q:

What is 5 9/11 as a decimal?

Accepted Solution

A:
Solution: 5 9/11 as a decimal is 5.82MethodsFirst step – Making the fraction improper:The first step to changing 5 9/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 11 and add its product to 9 in the numerator to get: 64/11. Now we will attempt to convert 64/11 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 64 by the denominator 11 (which you can enter in any calculator):64 (numerator) ÷ 11 (denominator) = 5.82And finally, you get 5.82 as your answer when you convert 5 9/11 (or 64/11) 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 2 105/11 as a decimal?What is 5 34/22 as a decimal?What is 45 11/3 as a decimal?What is 5 68/15 as a decimal?