The first step to changing 3 40/23 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 40 in the numerator to get: 109/23. Now we will attempt to convert 109/23 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 109 by the denominator 23:
109 (numerator) ÷ 23 (denominator) = 4.74
As a result, you get 4.74 as your answer when you convert 3 40/23 (or 109/23) to a decimal.
Practice some more problems on converting fractions to decimals:
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