The first step to changing 3 76/23 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 76 in the numerator to get: 145/23. Now we will attempt to convert 145/23 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 145 by the denominator 23:
145 (numerator) ÷ 23 (denominator) = 6.3
As a result, you get 6.3 as your answer when you convert 3 76/23 (or 145/23) to a decimal.
Practice some more problems on converting fractions to decimals:
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