37/13 to a mixed number
How to write 37/13 as a Mixed Number?
Since we have an improper fraction (the numerator [37] 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 37/13 to a mixed number
In order to convert our improper fraction 37/13 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 [37]. To do this we divide the numerator by the denominator:
37 ÷ 13 = 2.85 = 2
(Quotient of 2 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 [2] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [37]:
37 - (2 × 13)
=37 - 26 = 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 [2] before it
That's it! We have successfully converted the improper fraction 37/13 to the mixed number 2 11/13.
Related Calculations
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
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/37--13">What is 37/13 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 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 |
| 61/13 | 4 9/13 |
| 62/13 | 4 10/13 |
| 63/13 | 4 11/13 |
| 64/13 | 4 12/13 |
| 65/13 | 5 |
| 66/13 | 5 1/13 |