101/35 to a mixed number
How to write 101/35 as a Mixed Number?
Since we have an improper fraction (the numerator [101] is greater than the denominator [35]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 101/35 to a mixed number
In order to convert our improper fraction 101/35 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 [35] goes into the numerator [101]. To do this we divide the numerator by the denominator:
101 ÷ 35 = 2.89 = 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 [35]. And then subtract the result from the original numerator [101]:
101 - (2 × 35)
=101 - 70 = 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 [35], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 101/35 to the mixed number 2 31/35.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
101/35 | 2 31/35 |
102/35 | 2 32/35 |
103/35 | 2 33/35 |
104/35 | 2 34/35 |
105/35 | 3 |
106/35 | 3 1/35 |
107/35 | 3 2/35 |
108/35 | 3 3/35 |
109/35 | 3 4/35 |
110/35 | 3 1/7 |
111/35 | 3 6/35 |
112/35 | 3 1/5 |
113/35 | 3 8/35 |
114/35 | 3 9/35 |
115/35 | 3 2/7 |
116/35 | 3 11/35 |
117/35 | 3 12/35 |
118/35 | 3 13/35 |
119/35 | 3 2/5 |
120/35 | 3 3/7 |
121/35 | 3 16/35 |
122/35 | 3 17/35 |
123/35 | 3 18/35 |
124/35 | 3 19/35 |
125/35 | 3 4/7 |
126/35 | 3 3/5 |
127/35 | 3 22/35 |
128/35 | 3 23/35 |
129/35 | 3 24/35 |
130/35 | 3 5/7 |