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Math Tutor Solution: 3 54/8 as a decimal is 9.75
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 3 54/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 8 and add its product to 54 in the numerator to get: 78/8. Now we will attempt to convert 78/8 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 78 by the denominator 8:
78 (numerator) ÷ 8 (denominator) = 9.75
As a result, you get 9.75 as your answer when you convert 3 54/8 (or 78/8) 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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