The first step to changing 3 52/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 31 and add its product to 52 in the numerator to get: 145/31. Now we will attempt to convert 145/31 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 31:
145 (numerator) ÷ 31 (denominator) = 4.68
As a result, you get 4.68 as your answer when you convert 3 52/31 (or 145/31) to a decimal.
Practice some more problems on converting fractions to decimals:
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