Q:

What is 2 105/6 as a decimal?

Accepted Solution

A:
Solution: 2 105/6 as a decimal is 19.5MethodsFirst step – Making the fraction improper:The first step to changing 2 105/6 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 6 and add its product to 105 in the numerator to get: 117/6. Now we will attempt to convert 117/6 to a decimal using the following method:Explanation using the division method:One method to convert 117/6 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 117 by the denominator 6:117 (numerator) Γ· 6 (denominator) = 19.5And there you go! We got 19.5 as the answer when you convert 2 105/6 (or 117/6) 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 44/9 as a decimal?What is 5 4/27 as a decimal?What is 4 16/30 as a decimal?What is 18 24/4 as a decimal?