Q:

What is 3 66/27 as a decimal?

Accepted Solution

A:
Solution: 3 66/27 as a decimal is 5.44MethodsFirst step – Making the fraction improper:The first step to changing 3 66/27 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 27 and add its product to 66 in the numerator to get: 147/27. Now we will attempt to convert 147/27 to a decimal using the following method:Explanation using the division method:One method to convert 147/27 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 147 by the denominator 27:147 (numerator) Γ· 27 (denominator) = 5.44And there you go! We got 5.44 as the answer when you convert 3 66/27 (or 147/27) 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 5 42/21 as a decimal?What is 3 16/37 as a decimal?What is 5 2/26 as a decimal?What is 13 21/8 as a decimal?