100/3 to a mixed number
How to write 100/3 as a Mixed Number?
Since we have an improper fraction (the numerator [100] is greater than the denominator [3]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 100/3 to a mixed number
In order to convert our improper fraction 100/3 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 [3] goes into the numerator [100]. To do this we divide the numerator by the denominator:
100 ÷ 3 = 33.33 = 33
(Quotient of 33 and a remainder of 1)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].
You may also calculate a remainder by using the whole number we calculated in the first step [33] and multiplying it by the original denominator [3]. And then subtract the result from the original numerator [100]:
100 - (33 × 3)
=100 - 99 = 1
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [3], and then put the whole number [33] before it
That's it! We have successfully converted the improper fraction 100/3 to the mixed number 33 1/3.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
100/3 | 33 1/3 |
101/3 | 33 2/3 |
102/3 | 34 |
103/3 | 34 1/3 |
104/3 | 34 2/3 |
105/3 | 35 |
106/3 | 35 1/3 |
107/3 | 35 2/3 |
108/3 | 36 |
109/3 | 36 1/3 |
110/3 | 36 2/3 |
111/3 | 37 |
112/3 | 37 1/3 |
113/3 | 37 2/3 |
114/3 | 38 |
115/3 | 38 1/3 |
116/3 | 38 2/3 |
117/3 | 39 |
118/3 | 39 1/3 |
119/3 | 39 2/3 |
120/3 | 40 |
121/3 | 40 1/3 |
122/3 | 40 2/3 |
123/3 | 41 |
124/3 | 41 1/3 |
125/3 | 41 2/3 |
126/3 | 42 |
127/3 | 42 1/3 |
128/3 | 42 2/3 |
129/3 | 43 |