Q:

What is 5 64/9 as a decimal?

Accepted Solution

A:
Solution: 5 64/9 as a decimal is 12.11MethodsFirst step – Making the fraction improper:The first step to changing 5 64/9 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 9 and add its product to 64 in the numerator to get: 109/9. Now we will attempt to convert 109/9 to a decimal using the following method:Explanation using the division method:One method to convert 109/9 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 109 by the denominator 9:109 (numerator) Γ· 9 (denominator) = 12.11And there you go! We got 12.11 as the answer when you convert 5 64/9 (or 109/9) to a decimal.Practice more problems!All 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 90/38 as a decimal?What is 2 111/14 as a decimal?What is 11 21/10 as a decimal?What is 18 23/7 as a decimal?