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Math Tutor Solution: 5 30/11 as a decimal is 7.73
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 5 30/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 11 and add its product to 30 in the numerator to get: 85/11. Now we will attempt to convert 85/11 to a decimal using the following method:
Math Tutor Explanation for using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 85 by the denominator 11 (which you can enter in any calculator):
85 (numerator) ÷ 11 (denominator) = 7.73
And finally, you get 7.73 as your answer when you convert 5 30/11 (or 85/11) to a decimal.
Math Tutor Suggests: Practice more conversion 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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