The first step to changing 3 84/13 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 13 and add its product to 84 in the numerator to get: 123/13. Now we will attempt to convert 123/13 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 123 by the denominator 13:
123 (numerator) ÷ 13 (denominator) = 9.46
As a result, you get 9.46 as your answer when you convert 3 84/13 (or 123/13) to a decimal.
Practice some more problems on converting fractions to decimals:
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