23/5 to a mixed number
How to write 23/5 as a Mixed Number?
Since we have an improper fraction (the numerator [23] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 23/5 to a mixed number
In order to convert our improper fraction 23/5 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 [5] goes into the numerator [23]. To do this we divide the numerator by the denominator:
23 ÷ 5 = 4.6 = 4
(Quotient of 4 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 [4] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [23]:
23 - (4 × 5)
=23 - 20 = 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 [5], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 23/5 to the mixed number 4 3/5.