The first step to changing 3 56/31 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 56 in the numerator to get: 149/31. Now we will attempt to convert 149/31 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 149 by the denominator 31:
149 (numerator) ÷ 31 (denominator) = 4.81
As a result, you get 4.81 as your answer when you convert 3 56/31 (or 149/31) to a decimal.
Practice some more problems on converting fractions to decimals:
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