45/11 to a mixed number
How to write 45/11 as a Mixed Number?
Since we have an improper fraction (the numerator [45] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 45/11 to a mixed number
In order to convert our improper fraction 45/11 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 [11] goes into the numerator [45]. To do this we divide the numerator by the denominator:
45 ÷ 11 = 4.09 = 4
(Quotient of 4 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 [4] and multiplying it by the original denominator [11]. And then subtract the result from the original numerator [45]:
45 - (4 × 11)
=45 - 44 = 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 [11], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 45/11 to the mixed number 4 1/11.
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