45/7 to a mixed number
How to write 45/7 as a Mixed Number?
Since we have an improper fraction (the numerator [45] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 45/7 to a mixed number
In order to convert our improper fraction 45/7 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 [7] goes into the numerator [45]. To do this we divide the numerator by the denominator:
45 ÷ 7 = 6.43 = 6
(Quotient of 6 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 [6] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [45]:
45 - (6 × 7)
=45 - 42 = 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 [7], and then put the whole number [6] before it
That's it! We have successfully converted the improper fraction 45/7 to the mixed number 6 3/7.
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