38/9 to a mixed number
How to write 38/9 as a Mixed Number?
Since we have an improper fraction (the numerator [38] 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 38/9 to a mixed number
In order to convert our improper fraction 38/9 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 [38]. To do this we divide the numerator by the denominator:
38 ÷ 9 = 4.22 = 4
(Quotient of 4 and a remainder of 2)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [2].
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 [9]. And then subtract the result from the original numerator [38]:
38 - (4 × 9)
=38 - 36 = 2
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [2] and put it above the original denominator [9], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 38/9 to the mixed number 4 2/9.