89/23 to a mixed number
How to write 89/23 as a Mixed Number?
Since we have an improper fraction (the numerator [89] is greater than the denominator [23]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 89/23 to a mixed number
In order to convert our improper fraction 89/23 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 [23] goes into the numerator [89]. To do this we divide the numerator by the denominator:
89 ÷ 23 = 3.87 = 3
(Quotient of 3 and a remainder of 20)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [20].
You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [23]. And then subtract the result from the original numerator [89]:
89 - (3 × 23)
=89 - 69 = 20
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [20] and put it above the original denominator [23], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 89/23 to the mixed number 3 20/23.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
89/23 | 3 20/23 |
90/23 | 3 21/23 |
91/23 | 3 22/23 |
92/23 | 4 |
93/23 | 4 1/23 |
94/23 | 4 2/23 |
95/23 | 4 3/23 |
96/23 | 4 4/23 |
97/23 | 4 5/23 |
98/23 | 4 6/23 |
99/23 | 4 7/23 |
100/23 | 4 8/23 |
101/23 | 4 9/23 |
102/23 | 4 10/23 |
103/23 | 4 11/23 |
104/23 | 4 12/23 |
105/23 | 4 13/23 |
106/23 | 4 14/23 |
107/23 | 4 15/23 |
108/23 | 4 16/23 |
109/23 | 4 17/23 |
110/23 | 4 18/23 |
111/23 | 4 19/23 |
112/23 | 4 20/23 |
113/23 | 4 21/23 |
114/23 | 4 22/23 |
115/23 | 5 |
116/23 | 5 1/23 |
117/23 | 5 2/23 |
118/23 | 5 3/23 |