Q:

What is 3 105/12 as a decimal?

Accepted Solution

A:
Solution: 3 105/12 as a decimal is 11.75MethodsFirst step – Making the fraction improper:The first step to changing 3 105/12 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 12 and add its product to 105 in the numerator to get: 141/12. Now we will attempt to convert 141/12 to a decimal using the following method:Explanation using the division method:One method to convert 141/12 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 141 by the denominator 12:141 (numerator) Γ· 12 (denominator) = 11.75And there you go! We got 11.75 as the answer when you convert 3 105/12 (or 141/12) 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 2 59/37 as a decimal?What is 1 109/38 as a decimal?What is 1 2/19 as a decimal?What is 3 20/32 as a decimal?