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Math Tutor Solution: 57 82/47 as a decimal is 58.74
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 57 82/47 into a decimal is to change it to an improper fraction. To do that, we need to multiply 57 by 47 and add its product to 82 in the numerator to get: 2761/47. Now we will attempt to convert 2761/47 to a decimal using the following method:
Math tutor's explanation using the division method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 2761 by the denominator 47 to get the decimal:
2761 (numerator) ÷ 47 (denominator) = 58.74
That’s it! When you convert 57 82/47 (or 2761/47) to a decimal, 58.74 is your answer.
Math Tutor Suggests: Master fraction to decimal conversions
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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