101/30 to a mixed number
How to write 101/30 as a Mixed Number?
Since we have an improper fraction (the numerator [101] is greater than the denominator [30]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 101/30 to a mixed number
In order to convert our improper fraction 101/30 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 [30] goes into the numerator [101]. To do this we divide the numerator by the denominator:
101 ÷ 30 = 3.37 = 3
(Quotient of 3 and a remainder of 11)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].
You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [30]. And then subtract the result from the original numerator [101]:
101 - (3 × 30)
=101 - 90 = 11
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [30], and then put the whole number [3] before it
That's it! We have successfully converted the improper fraction 101/30 to the mixed number 3 11/30.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
101/30 | 3 11/30 |
102/30 | 3 2/5 |
103/30 | 3 13/30 |
104/30 | 3 7/15 |
105/30 | 3 1/2 |
106/30 | 3 8/15 |
107/30 | 3 17/30 |
108/30 | 3 3/5 |
109/30 | 3 19/30 |
110/30 | 3 2/3 |
111/30 | 3 7/10 |
112/30 | 3 11/15 |
113/30 | 3 23/30 |
114/30 | 3 4/5 |
115/30 | 3 5/6 |
116/30 | 3 13/15 |
117/30 | 3 9/10 |
118/30 | 3 14/15 |
119/30 | 3 29/30 |
120/30 | 4 |
121/30 | 4 1/30 |
122/30 | 4 1/15 |
123/30 | 4 1/10 |
124/30 | 4 2/15 |
125/30 | 4 1/6 |
126/30 | 4 1/5 |
127/30 | 4 7/30 |
128/30 | 4 4/15 |
129/30 | 4 3/10 |
130/30 | 4 1/3 |