The first step to changing 3 82/20 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 20 and add its product to 82 in the numerator to get: 142/20. Now we will attempt to convert 142/20 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 142 by the denominator 20:
142 (numerator) ÷ 20 (denominator) = 7.1
As a result, you get 7.1 as your answer when you convert 3 82/20 (or 142/20) to a decimal.
Practice some more problems on converting fractions to decimals:
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