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Math Tutor Solution: 7 45/11 as a decimal is 11.09
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 7 45/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 7 by 11 and add its product to 45 in the numerator to get: 122/11. Now we will attempt to convert 122/11 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 122 by the denominator 11:
122 (numerator) ÷ 11 (denominator) = 11.09
As a result, you get 11.09 as your answer when you convert 7 45/11 (or 122/11) 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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