46/9 to a mixed number
How to write 46/9 as a Mixed Number?
Since we have an improper fraction (the numerator [46] is greater than the denominator [9]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 46/9 to a mixed number
In order to convert our improper fraction 46/9 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 [9] goes into the numerator [46]. To do this we divide the numerator by the denominator:
46 ÷ 9 = 5.11 = 5
(Quotient of 5 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 [5] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [46]:
46 - (5 × 9)
=46 - 45 = 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 [9], and then put the whole number [5] before it
That's it! We have successfully converted the improper fraction 46/9 to the mixed number 5 1/9.
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