The first step to changing 5 114/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 7 and add its product to 114 in the numerator to get: 149/7. Now we will attempt to convert 149/7 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 7:
149 (numerator) ÷ 7 (denominator) = 21.29
As a result, you get 21.29 as your answer when you convert 5 114/7 (or 149/7) to a decimal.
Practice some more problems on converting fractions to decimals:
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