The first step to changing 4 46/6 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 6 and add its product to 46 in the numerator to get: 70/6. Now we will attempt to convert 70/6 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 70 by the denominator 6:
70 (numerator) ÷ 6 (denominator) = 11.67
As a result, you get 11.67 as your answer when you convert 4 46/6 (or 70/6) to a decimal.
Practice some more problems on converting fractions to decimals:
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