The first step to changing 3 65/24 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 24 and add its product to 65 in the numerator to get: 137/24. Now we will attempt to convert 137/24 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 137 by the denominator 24:
137 (numerator) ÷ 24 (denominator) = 5.71
As a result, you get 5.71 as your answer when you convert 3 65/24 (or 137/24) to a decimal.
Practice some more problems on converting fractions to decimals:
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