100/7 to a mixed number
How to write 100/7 as a Mixed Number?
Since we have an improper fraction (the numerator [100] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 100/7 to a mixed number
In order to convert our improper fraction 100/7 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 [7] goes into the numerator [100]. To do this we divide the numerator by the denominator:
100 ÷ 7 = 14.29 = 14
(Quotient of 14 and a remainder of 2)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [2].
You may also calculate a remainder by using the whole number we calculated in the first step [14] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [100]:
100 - (14 × 7)
=100 - 98 = 2
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [2] and put it above the original denominator [7], and then put the whole number [14] before it
That's it! We have successfully converted the improper fraction 100/7 to the mixed number 14 2/7.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
100/7 | 14 2/7 |
101/7 | 14 3/7 |
102/7 | 14 4/7 |
103/7 | 14 5/7 |
104/7 | 14 6/7 |
105/7 | 15 |
106/7 | 15 1/7 |
107/7 | 15 2/7 |
108/7 | 15 3/7 |
109/7 | 15 4/7 |
110/7 | 15 5/7 |
111/7 | 15 6/7 |
112/7 | 16 |
113/7 | 16 1/7 |
114/7 | 16 2/7 |
115/7 | 16 3/7 |
116/7 | 16 4/7 |
117/7 | 16 5/7 |
118/7 | 16 6/7 |
119/7 | 17 |
120/7 | 17 1/7 |
121/7 | 17 2/7 |
122/7 | 17 3/7 |
123/7 | 17 4/7 |
124/7 | 17 5/7 |
125/7 | 17 6/7 |
126/7 | 18 |
127/7 | 18 1/7 |
128/7 | 18 2/7 |
129/7 | 18 3/7 |