The first step to changing 3 65/17 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 17 and add its product to 65 in the numerator to get: 116/17. Now we will attempt to convert 116/17 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 116 by the denominator 17:
116 (numerator) ÷ 17 (denominator) = 6.82
As a result, you get 6.82 as your answer when you convert 3 65/17 (or 116/17) to a decimal.
Practice some more problems on converting fractions to decimals:
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