82/13 to a mixed number
How to write 82/13 as a Mixed Number?
Since we have an improper fraction (the numerator [82] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 82/13 to a mixed number
In order to convert our improper fraction 82/13 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 [13] goes into the numerator [82]. To do this we divide the numerator by the denominator:
82 ÷ 13 = 6.31 = 6
(Quotient of 6 and a remainder of 4)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [4].
You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [82]:
82 - (6 × 13)
=82 - 78 = 4
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [4] and put it above the original denominator [13], and then put the whole number [6] before it
That's it! We have successfully converted the improper fraction 82/13 to the mixed number 6 4/13.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
82/13 | 6 4/13 |
83/13 | 6 5/13 |
84/13 | 6 6/13 |
85/13 | 6 7/13 |
86/13 | 6 8/13 |
87/13 | 6 9/13 |
88/13 | 6 10/13 |
89/13 | 6 11/13 |
90/13 | 6 12/13 |
91/13 | 7 |
92/13 | 7 1/13 |
93/13 | 7 2/13 |
94/13 | 7 3/13 |
95/13 | 7 4/13 |
96/13 | 7 5/13 |
97/13 | 7 6/13 |
98/13 | 7 7/13 |
99/13 | 7 8/13 |
100/13 | 7 9/13 |
101/13 | 7 10/13 |
102/13 | 7 11/13 |
103/13 | 7 12/13 |
104/13 | 8 |
105/13 | 8 1/13 |
106/13 | 8 2/13 |
107/13 | 8 3/13 |
108/13 | 8 4/13 |
109/13 | 8 5/13 |
110/13 | 8 6/13 |
111/13 | 8 7/13 |