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Math Tutor Solution: 106 44/8 as a decimal is 111.5
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 106 44/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 106 by 8 and add its product to 44 in the numerator to get: 892/8. Now we will attempt to convert 892/8 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 892 by the denominator 8 to get the decimal:
892 (numerator) ÷ 8 (denominator) = 111.5
That’s it! When you convert 106 44/8 (or 892/8) to a decimal, 111.5 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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