The first step to changing 3 14/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 3 and add its product to 14 in the numerator to get: 23/3. Now we will attempt to convert 23/3 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 23 by the denominator 3:
23 (numerator) ÷ 3 (denominator) = 7.67
As a result, you get 7.67 as your answer when you convert 3 14/3 (or 23/3) to a decimal.
Practice some more problems on converting fractions to decimals:
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