117/11 to a mixed number
How to write 117/11 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/11 to a mixed number
In order to convert our improper fraction 117/11 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 [11] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 11 = 10.64 = 10
(Quotient of 10 and a remainder of 7)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].
You may also calculate a remainder by using the whole number we calculated in the first step [10] and multiplying it by the original denominator [11]. And then subtract the result from the original numerator [117]:
117 - (10 × 11)
=117 - 110 = 7
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [11], and then put the whole number [10] before it
That's it! We have successfully converted the improper fraction 117/11 to the mixed number 10 7/11.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
117/11 | 10 7/11 |
118/11 | 10 8/11 |
119/11 | 10 9/11 |
120/11 | 10 10/11 |
121/11 | 11 |
122/11 | 11 1/11 |
123/11 | 11 2/11 |
124/11 | 11 3/11 |
125/11 | 11 4/11 |
126/11 | 11 5/11 |
127/11 | 11 6/11 |
128/11 | 11 7/11 |
129/11 | 11 8/11 |
130/11 | 11 9/11 |
131/11 | 11 10/11 |
132/11 | 12 |
133/11 | 12 1/11 |
134/11 | 12 2/11 |
135/11 | 12 3/11 |
136/11 | 12 4/11 |
137/11 | 12 5/11 |
138/11 | 12 6/11 |
139/11 | 12 7/11 |
140/11 | 12 8/11 |
141/11 | 12 9/11 |
142/11 | 12 10/11 |
143/11 | 13 |
144/11 | 13 1/11 |
145/11 | 13 2/11 |
146/11 | 13 3/11 |