The first step to changing 4 49/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 23 and add its product to 49 in the numerator to get: 141/23. Now we will attempt to convert 141/23 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 141 by the denominator 23:
141 (numerator) ÷ 23 (denominator) = 6.13
As a result, you get 6.13 as your answer when you convert 4 49/23 (or 141/23) to a decimal.
Practice some more problems on converting fractions to decimals:
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