105/8 to a mixed number
How to write 105/8 as a Mixed Number?
Since we have an improper fraction (the numerator [105] is greater than the denominator [8]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 105/8 to a mixed number
In order to convert our improper fraction 105/8 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 [8] goes into the numerator [105]. To do this we divide the numerator by the denominator:
105 ÷ 8 = 13.13 = 13
(Quotient of 13 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 [13] and multiplying it by the original denominator [8]. And then subtract the result from the original numerator [105]:
105 - (13 × 8)
=105 - 104 = 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 [8], and then put the whole number [13] before it
That's it! We have successfully converted the improper fraction 105/8 to the mixed number 13 1/8.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
105/8 | 13 1/8 |
106/8 | 13 1/4 |
107/8 | 13 3/8 |
108/8 | 13 1/2 |
109/8 | 13 5/8 |
110/8 | 13 3/4 |
111/8 | 13 7/8 |
112/8 | 14 |
113/8 | 14 1/8 |
114/8 | 14 1/4 |
115/8 | 14 3/8 |
116/8 | 14 1/2 |
117/8 | 14 5/8 |
118/8 | 14 3/4 |
119/8 | 14 7/8 |
120/8 | 15 |
121/8 | 15 1/8 |
122/8 | 15 1/4 |
123/8 | 15 3/8 |
124/8 | 15 1/2 |
125/8 | 15 5/8 |
126/8 | 15 3/4 |
127/8 | 15 7/8 |
128/8 | 16 |
129/8 | 16 1/8 |
130/8 | 16 1/4 |
131/8 | 16 3/8 |
132/8 | 16 1/2 |
133/8 | 16 5/8 |
134/8 | 16 3/4 |