The first step to changing 3 80/9 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 80 in the numerator to get: 107/9. Now we will attempt to convert 107/9 to a decimal using the following method.
A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 107 by the denominator 9:
107 (numerator) ÷ 9 (denominator) = 11.89
As a result, you get 11.89 as your answer when you convert 3 80/9 (or 107/9) to a decimal.
Practice some more problems on converting fractions to decimals:
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