The first step to changing 6 66/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 8 and add its product to 66 in the numerator to get: 114/8. Now we will attempt to convert 114/8 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 114 by the denominator 8:
114 (numerator) ÷ 8 (denominator) = 14.25
As a result, you get 14.25 as your answer when you convert 6 66/8 (or 114/8) to a decimal.
Practice some more problems on converting fractions to decimals:
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