Q:

What is 3 98/9 as a decimal?

Accepted Solution

A:
Solution: 3 98/9 as a decimal is 13.89MethodsFirst step – Making the fraction improper:The first step to changing 3 98/9 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 9 and add its product to 98 in the numerator to get: 125/9. Now we will attempt to convert 125/9 to a decimal using the following method:Explanation using the division method:One method to convert 125/9 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 125 by the denominator 9:125 (numerator) Γ· 9 (denominator) = 13.89And there you go! We got 13.89 as the answer when you convert 3 98/9 (or 125/9) 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 32/26 as a decimal?What is 1 49/48 as a decimal?What is 2 39/32 as a decimal?What is 1 10/39 as a decimal?