101/23 to a mixed number
How to write 101/23 as a Mixed Number?
Since we have an improper fraction (the numerator [101] is greater than the denominator [23]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 101/23 to a mixed number
In order to convert our improper fraction 101/23 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 [23] goes into the numerator [101]. To do this we divide the numerator by the denominator:
101 ÷ 23 = 4.39 = 4
(Quotient of 4 and a remainder of 9)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].
You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [23]. And then subtract the result from the original numerator [101]:
101 - (4 × 23)
=101 - 92 = 9
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [23], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 101/23 to the mixed number 4 9/23.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
101/23 | 4 9/23 |
102/23 | 4 10/23 |
103/23 | 4 11/23 |
104/23 | 4 12/23 |
105/23 | 4 13/23 |
106/23 | 4 14/23 |
107/23 | 4 15/23 |
108/23 | 4 16/23 |
109/23 | 4 17/23 |
110/23 | 4 18/23 |
111/23 | 4 19/23 |
112/23 | 4 20/23 |
113/23 | 4 21/23 |
114/23 | 4 22/23 |
115/23 | 5 |
116/23 | 5 1/23 |
117/23 | 5 2/23 |
118/23 | 5 3/23 |
119/23 | 5 4/23 |
120/23 | 5 5/23 |
121/23 | 5 6/23 |
122/23 | 5 7/23 |
123/23 | 5 8/23 |
124/23 | 5 9/23 |
125/23 | 5 10/23 |
126/23 | 5 11/23 |
127/23 | 5 12/23 |
128/23 | 5 13/23 |
129/23 | 5 14/23 |
130/23 | 5 15/23 |