Q:

What is 8 26/7 as a decimal?

Accepted Solution

A:
Solution: 8 26/7 as a decimal is 11.71MethodsFirst step – Making the fraction improper:The first step to changing 8 26/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 7 and add its product to 26 in the numerator to get: 82/7. Now we will attempt to convert 82/7 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 82 by the denominator 7 (which you can enter in any calculator):82 (numerator) ÷ 7 (denominator) = 11.71And finally, you get 11.71 as your answer when you convert 8 26/7 (or 82/7) 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 5 6/27 as a decimal?What is 1 103/35 as a decimal?What is 2 9/49 as a decimal?What is 2 69/38 as a decimal?