83/8 to a mixed number
How to write 83/8 as a Mixed Number?
Since we have an improper fraction (the numerator [83] 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 83/8 to a mixed number
In order to convert our improper fraction 83/8 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 [83]. To do this we divide the numerator by the denominator:
83 ÷ 8 = 10.38 = 10
(Quotient of 10 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
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 [8]. And then subtract the result from the original numerator [83]:
83 - (10 × 8)
=83 - 80 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [8], and then put the whole number [10] before it
That's it! We have successfully converted the improper fraction 83/8 to the mixed number 10 3/8.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
83/8 | 10 3/8 |
84/8 | 10 1/2 |
85/8 | 10 5/8 |
86/8 | 10 3/4 |
87/8 | 10 7/8 |
88/8 | 11 |
89/8 | 11 1/8 |
90/8 | 11 1/4 |
91/8 | 11 3/8 |
92/8 | 11 1/2 |
93/8 | 11 5/8 |
94/8 | 11 3/4 |
95/8 | 11 7/8 |
96/8 | 12 |
97/8 | 12 1/8 |
98/8 | 12 1/4 |
99/8 | 12 3/8 |
100/8 | 12 1/2 |
101/8 | 12 5/8 |
102/8 | 12 3/4 |
103/8 | 12 7/8 |
104/8 | 13 |
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 |