31/22 to a mixed number
How to write 31/22 as a Mixed Number?
Since we have an improper fraction (the numerator [31] is greater than the denominator [22]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/22 to a mixed number
In order to convert our improper fraction 31/22 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 [22] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 22 = 1.41 = 1
(Quotient of 1 and a remainder of 9)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].
You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [22]. And then subtract the result from the original numerator [31]:
31 - (1 × 22)
=31 - 22 = 9
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [22], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 31/22 to the mixed number 1 9/22.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
31/22 | 1 9/22 |
32/22 | 1 5/11 |
33/22 | 1 1/2 |
34/22 | 1 6/11 |
35/22 | 1 13/22 |
36/22 | 1 7/11 |
37/22 | 1 15/22 |
38/22 | 1 8/11 |
39/22 | 1 17/22 |
40/22 | 1 9/11 |
41/22 | 1 19/22 |
42/22 | 1 10/11 |
43/22 | 1 21/22 |
44/22 | 2 |
45/22 | 2 1/22 |
46/22 | 2 1/11 |
47/22 | 2 3/22 |
48/22 | 2 2/11 |
49/22 | 2 5/22 |
50/22 | 2 3/11 |
51/22 | 2 7/22 |
52/22 | 2 4/11 |
53/22 | 2 9/22 |
54/22 | 2 5/11 |
55/22 | 2 1/2 |
56/22 | 2 6/11 |
57/22 | 2 13/22 |
58/22 | 2 7/11 |
59/22 | 2 15/22 |
60/22 | 2 8/11 |