What is 3 89/11 as a decimal?

Solution: 3 89/11 as a decimal is 11.09

Methods

First step – Making the fraction improper:

The first step to changing 3 89/11 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 89 in the numerator to get: 122/11. Now we will attempt to convert 122/11 to a decimal using the following method:

Explanation using the division method:

One method to convert 122/11 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 122 by the denominator 11:

122 (numerator) ÷ 11 (denominator) = 11.09

And there you go! We got 11.09 as the answer when you convert 3 89/11 (or 122/11) 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:

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