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Math Tutor Solution: 3 86/7 as a decimal is 15.29
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 3 86/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 7 and add its product to 86 in the numerator to get: 107/7. Now we will attempt to convert 107/7 to a decimal using the following method.
A Math Tutor's explanation using the division 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 107 by the denominator 7:
107 (numerator) ÷ 7 (denominator) = 15.29
As a result, you get 15.29 as your answer when you convert 3 86/7 (or 107/7) to a decimal.
Math Tutor Suggests: Convert some more fractions to decimals!
All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:
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