101/12 to a mixed number
How to write 101/12 as a Mixed Number?
Since we have an improper fraction (the numerator [101] 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 101/12 to a mixed number
In order to convert our improper fraction 101/12 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 [101]. To do this we divide the numerator by the denominator:
101 ÷ 12 = 8.42 = 8
(Quotient of 8 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 [8] and multiplying it by the original denominator [12]. And then subtract the result from the original numerator [101]:
101 - (8 × 12)
=101 - 96 = 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 [8] before it
That's it! We have successfully converted the improper fraction 101/12 to the mixed number 8 5/12.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
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 |
119/12 | 9 11/12 |
120/12 | 10 |
121/12 | 10 1/12 |
122/12 | 10 1/6 |
123/12 | 10 1/4 |
124/12 | 10 1/3 |
125/12 | 10 5/12 |
126/12 | 10 1/2 |
127/12 | 10 7/12 |
128/12 | 10 2/3 |
129/12 | 10 3/4 |
130/12 | 10 5/6 |