Q:

What is 3 97/11 as a decimal?

Accepted Solution

A:
Solution: 3 97/11 as a decimal is 11.82MethodsFirst step – Making the fraction improper:The first step to changing 3 97/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 11 and add its product to 97 in the numerator to get: 130/11. Now we will attempt to convert 130/11 to a decimal using the following method:Explanation using the division method:One method to convert 130/11 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 130 by the denominator 11:130 (numerator) Γ· 11 (denominator) = 11.82And there you go! We got 11.82 as the answer when you convert 3 97/11 (or 130/11) 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 12/20 as a decimal?What is 3 57/28 as a decimal?What is 2 7/40 as a decimal?What is 5 21/18 as a decimal?