The first step to changing 4 40/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 7 and add its product to 40 in the numerator to get: 68/7. Now we will attempt to convert 68/7 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 68 by the denominator 7:
68 (numerator) ÷ 7 (denominator) = 9.71
As a result, you get 9.71 as your answer when you convert 4 40/7 (or 68/7) to a decimal.
Practice some more problems on converting fractions to decimals:
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