37/3 to a mixed number
How to write 37/3 as a Mixed Number?
Since we have an improper fraction (the numerator [37] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 37/3 to a mixed number
In order to convert our improper fraction 37/3 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [3] goes into the numerator [37]. To do this we divide the numerator by the denominator:
37 ÷ 3 = 12.33 = 12
(Quotient of 12 and a remainder of 1)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].
You may also calculate a remainder by using the whole number we calculated in the first step [12] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [37]:
37 - (12 × 3)
=37 - 36 = 1
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [3], and then put the whole number [12] before it
That's it! We have successfully converted the improper fraction 37/3 to the mixed number 12 1/3.
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