76/13 to a mixed number
How to write 76/13 as a Mixed Number?
Since we have an improper fraction (the numerator [76] 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 76/13 to a mixed number
In order to convert our improper fraction 76/13 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 [76]. To do this we divide the numerator by the denominator:
76 ÷ 13 = 5.85 = 5
(Quotient of 5 and a remainder of 11)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].
You may also calculate a remainder by using the whole number we calculated in the first step [5] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [76]:
76 - (5 × 13)
=76 - 65 = 11
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [13], and then put the whole number [5] before it
That's it! We have successfully converted the improper fraction 76/13 to the mixed number 5 11/13.
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction

Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 76/13 | 5 11/13 |
| 77/13 | 5 12/13 |
| 78/13 | 6 |
| 79/13 | 6 1/13 |
| 80/13 | 6 2/13 |
| 81/13 | 6 3/13 |
| 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 |