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Math Tutor Solution: 104 21/47 as a decimal is 104.45
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 104 21/47 into a decimal is to change it to an improper fraction. To do that, we need to multiply 104 by 47 and add its product to 21 in the numerator to get: 4909/47. Now we will attempt to convert 4909/47 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 4909 by the denominator 47 to get the decimal:
4909 (numerator) ÷ 47 (denominator) = 104.45
That’s it! When you convert 104 21/47 (or 4909/47) to a decimal, 104.45 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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