100/31 to a mixed number
How to write 100/31 as a Mixed Number?
Since we have an improper fraction (the numerator [100] 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 100/31 to a mixed number
In order to convert our improper fraction 100/31 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 [100]. To do this we divide the numerator by the denominator:
100 ÷ 31 = 3.23 = 3
(Quotient of 3 and a remainder of 7)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].
You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [31]. And then subtract the result from the original numerator [100]:
100 - (3 × 31)
=100 - 93 = 7
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [31], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 100/31 to the mixed number 3 7/31.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
100/31 | 3 7/31 |
101/31 | 3 8/31 |
102/31 | 3 9/31 |
103/31 | 3 10/31 |
104/31 | 3 11/31 |
105/31 | 3 12/31 |
106/31 | 3 13/31 |
107/31 | 3 14/31 |
108/31 | 3 15/31 |
109/31 | 3 16/31 |
110/31 | 3 17/31 |
111/31 | 3 18/31 |
112/31 | 3 19/31 |
113/31 | 3 20/31 |
114/31 | 3 21/31 |
115/31 | 3 22/31 |
116/31 | 3 23/31 |
117/31 | 3 24/31 |
118/31 | 3 25/31 |
119/31 | 3 26/31 |
120/31 | 3 27/31 |
121/31 | 3 28/31 |
122/31 | 3 29/31 |
123/31 | 3 30/31 |
124/31 | 4 |
125/31 | 4 1/31 |
126/31 | 4 2/31 |
127/31 | 4 3/31 |
128/31 | 4 4/31 |
129/31 | 4 5/31 |