45/4 to a mixed number
How to write 45/4 as a Mixed Number?
Since we have an improper fraction (the numerator [45] 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 45/4 to a mixed number
In order to convert our improper fraction 45/4 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 [45]. To do this we divide the numerator by the denominator:
45 ÷ 4 = 11.25 = 11
(Quotient of 11 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 [11] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [45]:
45 - (11 × 4)
=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 [4], and then put the whole number [11] before it
That's it! We have successfully converted the improper fraction 45/4 to the mixed number 11 1/4.
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