Q:

What is 3 20/33 as a decimal?

Accepted Solution

A:
Solution: 3 20/33 as a decimal is 3.61MethodsFirst step – Making the fraction improper:The first step to changing 3 20/33 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 33 and add its product to 20 in the numerator to get: 119/33. Now we will attempt to convert 119/33 to a decimal using the following method:Explanation using the division method:One method to convert 119/33 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 119 by the denominator 33:119 (numerator) ÷ 33 (denominator) = 3.61And there you go! We got 3.61 as the answer when you convert 3 20/33 (or 119/33) 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 3 11/30 as a decimal?What is 5 15/27 as a decimal?What is 1 110/23 as a decimal?What is 1 97/15 as a decimal?