The first step to changing 3 89/19 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 19 and add its product to 89 in the numerator to get: 146/19. Now we will attempt to convert 146/19 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 146 by the denominator 19:
146 (numerator) ÷ 19 (denominator) = 7.68
As a result, you get 7.68 as your answer when you convert 3 89/19 (or 146/19) to a decimal.
Practice some more problems on converting fractions to decimals:
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