89/12 to a mixed number
How to write 89/12 as a Mixed Number?
Since we have an improper fraction (the numerator [89] is greater than the denominator [12]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 89/12 to a mixed number
In order to convert our improper fraction 89/12 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 [12] goes into the numerator [89]. To do this we divide the numerator by the denominator:
89 ÷ 12 = 7.42 = 7
(Quotient of 7 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [12]. And then subtract the result from the original numerator [89]:
89 - (7 × 12)
=89 - 84 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [12], and then put the whole number [7] before it
That's it! We have successfully converted the improper fraction 89/12 to the mixed number 7 5/12.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
89/12 | 7 5/12 |
90/12 | 7 1/2 |
91/12 | 7 7/12 |
92/12 | 7 2/3 |
93/12 | 7 3/4 |
94/12 | 7 5/6 |
95/12 | 7 11/12 |
96/12 | 8 |
97/12 | 8 1/12 |
98/12 | 8 1/6 |
99/12 | 8 1/4 |
100/12 | 8 1/3 |
101/12 | 8 5/12 |
102/12 | 8 1/2 |
103/12 | 8 7/12 |
104/12 | 8 2/3 |
105/12 | 8 3/4 |
106/12 | 8 5/6 |
107/12 | 8 11/12 |
108/12 | 9 |
109/12 | 9 1/12 |
110/12 | 9 1/6 |
111/12 | 9 1/4 |
112/12 | 9 1/3 |
113/12 | 9 5/12 |
114/12 | 9 1/2 |
115/12 | 9 7/12 |
116/12 | 9 2/3 |
117/12 | 9 3/4 |
118/12 | 9 5/6 |