The first step to changing 3 16/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 23 and add its product to 16 in the numerator to get: 85/23. Now we will attempt to convert 85/23 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 85 by the denominator 23:
85 (numerator) ÷ 23 (denominator) = 3.7
As a result, you get 3.7 as your answer when you convert 3 16/23 (or 85/23) to a decimal.
Practice some more problems on converting fractions to decimals:
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