What is 3 105/7 as a decimal?

Accepted Solution

Solution: 3 105/7 as a decimal is 18MethodsFirst step – Making the fraction improper:The first step to changing 3 105/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 7 and add its product to 105 in the numerator to get: 126/7. Now we will attempt to convert 126/7 to a decimal using the following method:Explanation using the division method:One method to convert 126/7 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 126 by the denominator 7:126 (numerator) ÷ 7 (denominator) = 18And there you go! We got 18 as the answer when you convert 3 105/7 (or 126/7) 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 4 67/15 as a decimal?What is 1 39/46 as a decimal?What is 4 29/28 as a decimal?What is 11 7/4 as a decimal?