59/31 to a mixed number
How to write 59/31 as a Mixed Number?
Since we have an improper fraction (the numerator [59] 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 59/31 to a mixed number
In order to convert our improper fraction 59/31 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 [59]. To do this we divide the numerator by the denominator:
59 ÷ 31 = 1.9 = 1
(Quotient of 1 and a remainder of 28)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [28].
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 [31]. And then subtract the result from the original numerator [59]:
59 - (1 × 31)
=59 - 31 = 28
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [28] and put it above the original denominator [31], and then put the whole number [1] before it
That's it! We have successfully converted the improper fraction 59/31 to the mixed number 1 28/31.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
59/31 | 1 28/31 |
60/31 | 1 29/31 |
61/31 | 1 30/31 |
62/31 | 2 |
63/31 | 2 1/31 |
64/31 | 2 2/31 |
65/31 | 2 3/31 |
66/31 | 2 4/31 |
67/31 | 2 5/31 |
68/31 | 2 6/31 |
69/31 | 2 7/31 |
70/31 | 2 8/31 |
71/31 | 2 9/31 |
72/31 | 2 10/31 |
73/31 | 2 11/31 |
74/31 | 2 12/31 |
75/31 | 2 13/31 |
76/31 | 2 14/31 |
77/31 | 2 15/31 |
78/31 | 2 16/31 |
79/31 | 2 17/31 |
80/31 | 2 18/31 |
81/31 | 2 19/31 |
82/31 | 2 20/31 |
83/31 | 2 21/31 |
84/31 | 2 22/31 |
85/31 | 2 23/31 |
86/31 | 2 24/31 |
87/31 | 2 25/31 |
88/31 | 2 26/31 |