What is 5 46/11 as a decimal?

Accepted Solution

Solution: 5 46/11 as a decimal is 9.18MethodsFirst step – Making the fraction improper:The first step to changing 5 46/11 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 46 in the numerator to get: 101/11. Now we will attempt to convert 101/11 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 101 by the denominator 11 (which you can enter in any calculator):101 (numerator) ÷ 11 (denominator) = 9.18And finally, you get 9.18 as your answer when you convert 5 46/11 (or 101/11) 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 9/36 as a decimal?What is 3 4/28 as a decimal?What is 20 29/6 as a decimal?What is 3 8/47 as a decimal?