Solution: 1 82/23 as a decimal is 4.57MethodsFirst step – Making the fraction improper:The first step to changing 1 82/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 23 and add its product to 82 in the numerator to get: 105/23. Now we will attempt to convert 105/23 to a decimal using the following method:Explanation using the division method:One method to convert 105/23 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 105 by the denominator 23:105 (numerator) ÷ 23 (denominator) = 4.57And there you go! We got 4.57 as the answer when you convert 1 82/23 (or 105/23) 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 61/19 as a decimal?What is 3 29/38 as a decimal?What is 6 1/23 as a decimal?What is 1 100/46 as a decimal?