31/13 to a mixed number
How to write 31/13 as a Mixed Number?
Since we have an improper fraction (the numerator [31] 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 31/13 to a mixed number
In order to convert our improper fraction 31/13 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 [31]. To do this we divide the numerator by the denominator:
31 ÷ 13 = 2.38 = 2
(Quotient of 2 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 [2] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [31]:
31 - (2 × 13)
=31 - 26 = 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 [13], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 31/13 to the mixed number 2 5/13.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/31--13">What is 31/13 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 31/13 | 2 5/13 |
| 32/13 | 2 6/13 |
| 33/13 | 2 7/13 |
| 34/13 | 2 8/13 |
| 35/13 | 2 9/13 |
| 36/13 | 2 10/13 |
| 37/13 | 2 11/13 |
| 38/13 | 2 12/13 |
| 39/13 | 3 |
| 40/13 | 3 1/13 |
| 41/13 | 3 2/13 |
| 42/13 | 3 3/13 |
| 43/13 | 3 4/13 |
| 44/13 | 3 5/13 |
| 45/13 | 3 6/13 |
| 46/13 | 3 7/13 |
| 47/13 | 3 8/13 |
| 48/13 | 3 9/13 |
| 49/13 | 3 10/13 |
| 50/13 | 3 11/13 |
| 51/13 | 3 12/13 |
| 52/13 | 4 |
| 53/13 | 4 1/13 |
| 54/13 | 4 2/13 |
| 55/13 | 4 3/13 |
| 56/13 | 4 4/13 |
| 57/13 | 4 5/13 |
| 58/13 | 4 6/13 |
| 59/13 | 4 7/13 |
| 60/13 | 4 8/13 |