22/9 to a mixed number
How to write 22/9 as a Mixed Number?
Since we have an improper fraction (the numerator [22] 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 22/9 to a mixed number
In order to convert our improper fraction 22/9 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 [22]. To do this we divide the numerator by the denominator:
22 ÷ 9 = 2.44 = 2
(Quotient of 2 and a remainder of 4)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [4].
You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [22]:
22 - (2 × 9)
=22 - 18 = 4
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [4] and put it above the original denominator [9], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 22/9 to the mixed number 2 4/9.