113/17 to a mixed number
How to write 113/17 as a Mixed Number?
Since we have an improper fraction (the numerator [113] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 113/17 to a mixed number
In order to convert our improper fraction 113/17 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 [17] goes into the numerator [113]. To do this we divide the numerator by the denominator:
113 ÷ 17 = 6.65 = 6
(Quotient of 6 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 [6] and multiplying it by the original denominator [17]. And then subtract the result from the original numerator [113]:
113 - (6 × 17)
=113 - 102 = 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 [17], and then put the whole number [6] before it
That's it! We have successfully converted the improper fraction 113/17 to the mixed number 6 11/17.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
113/17 | 6 11/17 |
114/17 | 6 12/17 |
115/17 | 6 13/17 |
116/17 | 6 14/17 |
117/17 | 6 15/17 |
118/17 | 6 16/17 |
119/17 | 7 |
120/17 | 7 1/17 |
121/17 | 7 2/17 |
122/17 | 7 3/17 |
123/17 | 7 4/17 |
124/17 | 7 5/17 |
125/17 | 7 6/17 |
126/17 | 7 7/17 |
127/17 | 7 8/17 |
128/17 | 7 9/17 |
129/17 | 7 10/17 |
130/17 | 7 11/17 |
131/17 | 7 12/17 |
132/17 | 7 13/17 |
133/17 | 7 14/17 |
134/17 | 7 15/17 |
135/17 | 7 16/17 |
136/17 | 8 |
137/17 | 8 1/17 |
138/17 | 8 2/17 |
139/17 | 8 3/17 |
140/17 | 8 4/17 |
141/17 | 8 5/17 |
142/17 | 8 6/17 |