The first step to changing 4 31/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 4 and add its product to 31 in the numerator to get: 47/4. Now we will attempt to convert 47/4 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 47 by the denominator 4:
47 (numerator) ÷ 4 (denominator) = 11.75
As a result, you get 11.75 as your answer when you convert 4 31/4 (or 47/4) to a decimal.
Practice some more problems on converting fractions to decimals:
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