31/12 to a mixed number
How to write 31/12 as a Mixed Number?
Since we have an improper fraction (the numerator [31] 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 31/12 to a mixed number
In order to convert our improper fraction 31/12 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 [31]. To do this we divide the numerator by the denominator:
31 ÷ 12 = 2.58 = 2
(Quotient of 2 and a remainder of 7)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].
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 [12]. And then subtract the result from the original numerator [31]:
31 - (2 × 12)
=31 - 24 = 7
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [12], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 31/12 to the mixed number 2 7/12.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/31--12">What is 31/12 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 31/12 | 2 7/12 |
| 32/12 | 2 2/3 |
| 33/12 | 2 3/4 |
| 34/12 | 2 5/6 |
| 35/12 | 2 11/12 |
| 36/12 | 3 |
| 37/12 | 3 1/12 |
| 38/12 | 3 1/6 |
| 39/12 | 3 1/4 |
| 40/12 | 3 1/3 |
| 41/12 | 3 5/12 |
| 42/12 | 3 1/2 |
| 43/12 | 3 7/12 |
| 44/12 | 3 2/3 |
| 45/12 | 3 3/4 |
| 46/12 | 3 5/6 |
| 47/12 | 3 11/12 |
| 48/12 | 4 |
| 49/12 | 4 1/12 |
| 50/12 | 4 1/6 |
| 51/12 | 4 1/4 |
| 52/12 | 4 1/3 |
| 53/12 | 4 5/12 |
| 54/12 | 4 1/2 |
| 55/12 | 4 7/12 |
| 56/12 | 4 2/3 |
| 57/12 | 4 3/4 |
| 58/12 | 4 5/6 |
| 59/12 | 4 11/12 |
| 60/12 | 5 |