113/7 to a mixed number
How to write 113/7 as a Mixed Number?
Since we have an improper fraction (the numerator [113] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 113/7 to a mixed number
In order to convert our improper fraction 113/7 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 [7] goes into the numerator [113]. To do this we divide the numerator by the denominator:
113 ÷ 7 = 16.14 = 16
(Quotient of 16 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 [16] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [113]:
113 - (16 × 7)
=113 - 112 = 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 [7], and then put the whole number [16] before it
That's it! We have successfully converted the improper fraction 113/7 to the mixed number 16 1/7.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
113/7 | 16 1/7 |
114/7 | 16 2/7 |
115/7 | 16 3/7 |
116/7 | 16 4/7 |
117/7 | 16 5/7 |
118/7 | 16 6/7 |
119/7 | 17 |
120/7 | 17 1/7 |
121/7 | 17 2/7 |
122/7 | 17 3/7 |
123/7 | 17 4/7 |
124/7 | 17 5/7 |
125/7 | 17 6/7 |
126/7 | 18 |
127/7 | 18 1/7 |
128/7 | 18 2/7 |
129/7 | 18 3/7 |
130/7 | 18 4/7 |
131/7 | 18 5/7 |
132/7 | 18 6/7 |
133/7 | 19 |
134/7 | 19 1/7 |
135/7 | 19 2/7 |
136/7 | 19 3/7 |
137/7 | 19 4/7 |
138/7 | 19 5/7 |
139/7 | 19 6/7 |
140/7 | 20 |
141/7 | 20 1/7 |
142/7 | 20 2/7 |