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Math Tutor Solution: 31 11/45 as a decimal is 31.24
Methods
First step from a math tutor – Making the fraction improper:
The first step to changing 31 11/45 into a decimal is to change it to an improper fraction. To do that, we need to multiply 31 by 45 and add its product to 11 in the numerator to get: 1406/45. Now we will attempt to convert 1406/45 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 1406 by the denominator 45 (which you can enter in any calculator):
1406 (numerator) ÷ 45 (denominator) = 31.24
And finally, you get 31.24 as your answer when you convert 31 11/45 (or 1406/45) 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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