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Math Tutor Solution: 3 102/7 as a decimal is 17.57
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 3 102/7 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 102 in the numerator to get: 123/7. Now we will attempt to convert 123/7 to a decimal using the following method:
Math tutor's explanation for using the division method:
One method to convert 123/7 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 123 by the denominator 7:
123 (numerator) ÷ 7 (denominator) = 17.57
And there you go! We got 17.57 as the answer when you convert 3 102/7 (or 123/7) to a decimal.
Math Tutor Suggests: Practice more problems!
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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