31/17 to a mixed number
How to write 31/17 as a Mixed Number?
Since we have an improper fraction (the numerator [31] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/17 to a mixed number
In order to convert our improper fraction 31/17 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 [17] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 17 = 1.82 = 1
(Quotient of 1 and a remainder of 14)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [14].
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 [17]. And then subtract the result from the original numerator [31]:
31 - (1 × 17)
=31 - 17 = 14
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [14] and put it above the original denominator [17], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 31/17 to the mixed number 1 14/17.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
31/17 | 1 14/17 |
32/17 | 1 15/17 |
33/17 | 1 16/17 |
34/17 | 2 |
35/17 | 2 1/17 |
36/17 | 2 2/17 |
37/17 | 2 3/17 |
38/17 | 2 4/17 |
39/17 | 2 5/17 |
40/17 | 2 6/17 |
41/17 | 2 7/17 |
42/17 | 2 8/17 |
43/17 | 2 9/17 |
44/17 | 2 10/17 |
45/17 | 2 11/17 |
46/17 | 2 12/17 |
47/17 | 2 13/17 |
48/17 | 2 14/17 |
49/17 | 2 15/17 |
50/17 | 2 16/17 |
51/17 | 3 |
52/17 | 3 1/17 |
53/17 | 3 2/17 |
54/17 | 3 3/17 |
55/17 | 3 4/17 |
56/17 | 3 5/17 |
57/17 | 3 6/17 |
58/17 | 3 7/17 |
59/17 | 3 8/17 |
60/17 | 3 9/17 |