What is 6 66/8 as a decimal?

Accepted Solution

Solution: 6 66/8 as a decimal is 14.25MethodsFirst step – Making the fraction improper:The first step to changing 6 66/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 8 and add its product to 66 in the numerator to get: 114/8. Now we will attempt to convert 114/8 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 8 (which you can enter in any calculator):114 (numerator) ÷ 8 (denominator) = 14.25And finally, you get 14.25 as your answer when you convert 6 66/8 (or 114/8) 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 1 99/43 as a decimal?What is 9 70/3 as a decimal?What is 7 7/19 as a decimal?What is 4 8/28 as a decimal?