113/13 to a mixed number
How to write 113/13 as a Mixed Number?
Since we have an improper fraction (the numerator [113] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 113/13 to a mixed number
In order to convert our improper fraction 113/13 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 [13] goes into the numerator [113]. To do this we divide the numerator by the denominator:
113 ÷ 13 = 8.69 = 8
(Quotient of 8 and a remainder of 9)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].
You may also calculate a remainder by using the whole number we calculated in the first step [8] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [113]:
113 - (8 × 13)
=113 - 104 = 9
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [13], and then put the whole number [8] before it
That's it! We have successfully converted the improper fraction 113/13 to the mixed number 8 9/13.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
113/13 | 8 9/13 |
114/13 | 8 10/13 |
115/13 | 8 11/13 |
116/13 | 8 12/13 |
117/13 | 9 |
118/13 | 9 1/13 |
119/13 | 9 2/13 |
120/13 | 9 3/13 |
121/13 | 9 4/13 |
122/13 | 9 5/13 |
123/13 | 9 6/13 |
124/13 | 9 7/13 |
125/13 | 9 8/13 |
126/13 | 9 9/13 |
127/13 | 9 10/13 |
128/13 | 9 11/13 |
129/13 | 9 12/13 |
130/13 | 10 |
131/13 | 10 1/13 |
132/13 | 10 2/13 |
133/13 | 10 3/13 |
134/13 | 10 4/13 |
135/13 | 10 5/13 |
136/13 | 10 6/13 |
137/13 | 10 7/13 |
138/13 | 10 8/13 |
139/13 | 10 9/13 |
140/13 | 10 10/13 |
141/13 | 10 11/13 |
142/13 | 10 12/13 |