The first step to changing 3 82/11 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 82 in the numerator to get: 115/11. Now we will attempt to convert 115/11 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 115 by the denominator 11:
115 (numerator) ÷ 11 (denominator) = 10.45
As a result, you get 10.45 as your answer when you convert 3 82/11 (or 115/11) to a decimal.
Practice some more problems on converting fractions to decimals:
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