72/31 to a mixed number
How to write 72/31 as a Mixed Number?
Since we have an improper fraction (the numerator [72] 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 72/31 to a mixed number
In order to convert our improper fraction 72/31 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 [72]. To do this we divide the numerator by the denominator:
72 ÷ 31 = 2.32 = 2
(Quotient of 2 and a remainder of 10)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [10].
You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [31]. And then subtract the result from the original numerator [72]:
72 - (2 × 31)
=72 - 62 = 10
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [10] and put it above the original denominator [31], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 72/31 to the mixed number 2 10/31.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
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 |
89/31 | 2 27/31 |
90/31 | 2 28/31 |
91/31 | 2 29/31 |
92/31 | 2 30/31 |
93/31 | 3 |
94/31 | 3 1/31 |
95/31 | 3 2/31 |
96/31 | 3 3/31 |
97/31 | 3 4/31 |
98/31 | 3 5/31 |
99/31 | 3 6/31 |
100/31 | 3 7/31 |
101/31 | 3 8/31 |