31/28 to a mixed number
How to write 31/28 as a Mixed Number?
Since we have an improper fraction (the numerator [31] is greater than the denominator [28]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/28 to a mixed number
In order to convert our improper fraction 31/28 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 [28] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 28 = 1.11 = 1
(Quotient of 1 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
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 [28]. And then subtract the result from the original numerator [31]:
31 - (1 × 28)
=31 - 28 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [28], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 31/28 to the mixed number 1 3/28.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
31/28 | 1 3/28 |
32/28 | 1 1/7 |
33/28 | 1 5/28 |
34/28 | 1 3/14 |
35/28 | 1 1/4 |
36/28 | 1 2/7 |
37/28 | 1 9/28 |
38/28 | 1 5/14 |
39/28 | 1 11/28 |
40/28 | 1 3/7 |
41/28 | 1 13/28 |
42/28 | 1 1/2 |
43/28 | 1 15/28 |
44/28 | 1 4/7 |
45/28 | 1 17/28 |
46/28 | 1 9/14 |
47/28 | 1 19/28 |
48/28 | 1 5/7 |
49/28 | 1 3/4 |
50/28 | 1 11/14 |
51/28 | 1 23/28 |
52/28 | 1 6/7 |
53/28 | 1 25/28 |
54/28 | 1 13/14 |
55/28 | 1 27/28 |
56/28 | 2 |
57/28 | 2 1/28 |
58/28 | 2 1/14 |
59/28 | 2 3/28 |
60/28 | 2 1/7 |