107/38 to a mixed number
How to write 107/38 as a Mixed Number?
Since we have an improper fraction (the numerator [107] is greater than the denominator [38]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 107/38 to a mixed number
In order to convert our improper fraction 107/38 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 [38] goes into the numerator [107]. To do this we divide the numerator by the denominator:
107 ÷ 38 = 2.82 = 2
(Quotient of 2 and a remainder of 31)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [31].
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 [38]. And then subtract the result from the original numerator [107]:
107 - (2 × 38)
=107 - 76 = 31
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [31] and put it above the original denominator [38], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 107/38 to the mixed number 2 31/38.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
107/38 | 2 31/38 |
108/38 | 2 16/19 |
109/38 | 2 33/38 |
110/38 | 2 17/19 |
111/38 | 2 35/38 |
112/38 | 2 18/19 |
113/38 | 2 37/38 |
114/38 | 3 |
115/38 | 3 1/38 |
116/38 | 3 1/19 |
117/38 | 3 3/38 |
118/38 | 3 2/19 |
119/38 | 3 5/38 |
120/38 | 3 3/19 |
121/38 | 3 7/38 |
122/38 | 3 4/19 |
123/38 | 3 9/38 |
124/38 | 3 5/19 |
125/38 | 3 11/38 |
126/38 | 3 6/19 |
127/38 | 3 13/38 |
128/38 | 3 7/19 |
129/38 | 3 15/38 |
130/38 | 3 8/19 |
131/38 | 3 17/38 |
132/38 | 3 9/19 |
133/38 | 3 1/2 |
134/38 | 3 10/19 |
135/38 | 3 21/38 |
136/38 | 3 11/19 |