What is 11 4/9 as a decimal?

Solution: 11 4/9 as a decimal is 11.44

Methods

First step – Making the fraction improper:

The first step to changing 11 4/9 into a decimal is to change it to an improper fraction. To do that, we need to multiply 11 by 9 and add its product to 4 in the numerator to get: 103/9. Now we will attempt to convert 103/9 to a decimal using the following method:

Explanation using the division method:

One method to convert 103/9 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 103 by the denominator 9:

103 (numerator) ÷ 9 (denominator) = 11.44

And there you go! We got 11.44 as the answer when you convert 11 4/9 (or 103/9) 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:

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