39/4 to a mixed number
How to write 39/4 as a Mixed Number?
Since we have an improper fraction (the numerator [39] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 39/4 to a mixed number
In order to convert our improper fraction 39/4 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 [4] goes into the numerator [39]. To do this we divide the numerator by the denominator:
39 ÷ 4 = 9.75 = 9
(Quotient of 9 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [39]:
39 - (9 × 4)
=39 - 36 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [4], and then put the whole number [9] before it
That's it! We have successfully converted the improper fraction 39/4 to the mixed number 9 3/4.
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