Q:

What is 6 4/5 as a decimal?

Accepted Solution

A:
Solution: 6 4/5 as a decimal is 6.8MethodsFirst step – Making the fraction improper:The first step to changing 6 4/5 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 5 and add its product to 4 in the numerator to get: 34/5. Now we will attempt to convert 34/5 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 34 by the denominator 5 (which you can enter in any calculator):34 (numerator) ÷ 5 (denominator) = 6.8And finally, you get 6.8 as your answer when you convert 6 4/5 (or 34/5) 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 31/36 as a decimal?What is 26 46/4 as a decimal?What is 6 18/22 as a decimal?What is 6 38/18 as a decimal?