109/27 to a mixed number
How to write 109/27 as a Mixed Number?
Since we have an improper fraction (the numerator [109] is greater than the denominator [27]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 109/27 to a mixed number
In order to convert our improper fraction 109/27 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 [27] goes into the numerator [109]. To do this we divide the numerator by the denominator:
109 ÷ 27 = 4.04 = 4
(Quotient of 4 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 [4] and multiplying it by the original denominator [27]. And then subtract the result from the original numerator [109]:
109 - (4 × 27)
=109 - 108 = 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 [27], and then put the whole number [4] before it
That's it! We have successfully converted the improper fraction 109/27 to the mixed number 4 1/27.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
109/27 | 4 1/27 |
110/27 | 4 2/27 |
111/27 | 4 1/9 |
112/27 | 4 4/27 |
113/27 | 4 5/27 |
114/27 | 4 2/9 |
115/27 | 4 7/27 |
116/27 | 4 8/27 |
117/27 | 4 1/3 |
118/27 | 4 10/27 |
119/27 | 4 11/27 |
120/27 | 4 4/9 |
121/27 | 4 13/27 |
122/27 | 4 14/27 |
123/27 | 4 5/9 |
124/27 | 4 16/27 |
125/27 | 4 17/27 |
126/27 | 4 2/3 |
127/27 | 4 19/27 |
128/27 | 4 20/27 |
129/27 | 4 7/9 |
130/27 | 4 22/27 |
131/27 | 4 23/27 |
132/27 | 4 8/9 |
133/27 | 4 25/27 |
134/27 | 4 26/27 |
135/27 | 5 |
136/27 | 5 1/27 |
137/27 | 5 2/27 |
138/27 | 5 1/9 |