100/31 to a mixed number
How to write 100/31 as a Mixed Number?
Since we have an improper fraction (the numerator [100] is greater than the denominator [31]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 100/31 to a mixed number
In order to convert our improper fraction 100/31 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 [31] goes into the numerator [100]. To do this we divide the numerator by the denominator:
100 ÷ 31 = 3.23 = 3
(Quotient of 3 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 [3] and multiplying it by the original denominator [31]. And then subtract the result from the original numerator [100]:
100 - (3 × 31)
=100 - 93 = 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 [31], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 100/31 to the mixed number 3 7/31.
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/100--31">What is 100/31 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 100/31 | 3 7/31 |
| 101/31 | 3 8/31 |
| 102/31 | 3 9/31 |
| 103/31 | 3 10/31 |
| 104/31 | 3 11/31 |
| 105/31 | 3 12/31 |
| 106/31 | 3 13/31 |
| 107/31 | 3 14/31 |
| 108/31 | 3 15/31 |
| 109/31 | 3 16/31 |
| 110/31 | 3 17/31 |
| 111/31 | 3 18/31 |
| 112/31 | 3 19/31 |
| 113/31 | 3 20/31 |
| 114/31 | 3 21/31 |
| 115/31 | 3 22/31 |
| 116/31 | 3 23/31 |
| 117/31 | 3 24/31 |
| 118/31 | 3 25/31 |
| 119/31 | 3 26/31 |
| 120/31 | 3 27/31 |
| 121/31 | 3 28/31 |
| 122/31 | 3 29/31 |
| 123/31 | 3 30/31 |
| 124/31 | 4 |
| 125/31 | 4 1/31 |
| 126/31 | 4 2/31 |
| 127/31 | 4 3/31 |
| 128/31 | 4 4/31 |
| 129/31 | 4 5/31 |