71/6 to a mixed number
How to write 71/6 as a Mixed Number?
Since we have an improper fraction (the numerator [71] is greater than the denominator [6]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 71/6 to a mixed number
In order to convert our improper fraction 71/6 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 [6] goes into the numerator [71]. To do this we divide the numerator by the denominator:
71 ÷ 6 = 11.83 = 11
(Quotient of 11 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [11] and multiplying it by the original denominator [6]. And then subtract the result from the original numerator [71]:
71 - (11 × 6)
=71 - 66 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [6], and then put the whole number [11] before it
That's it! We have successfully converted the improper fraction 71/6 to the mixed number 11 5/6.
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
71/6 | 11 5/6 |
72/6 | 12 |
73/6 | 12 1/6 |
74/6 | 12 1/3 |
75/6 | 12 1/2 |
76/6 | 12 2/3 |
77/6 | 12 5/6 |
78/6 | 13 |
79/6 | 13 1/6 |
80/6 | 13 1/3 |
81/6 | 13 1/2 |
82/6 | 13 2/3 |
83/6 | 13 5/6 |
84/6 | 14 |
85/6 | 14 1/6 |
86/6 | 14 1/3 |
87/6 | 14 1/2 |
88/6 | 14 2/3 |
89/6 | 14 5/6 |
90/6 | 15 |
91/6 | 15 1/6 |
92/6 | 15 1/3 |
93/6 | 15 1/2 |
94/6 | 15 2/3 |
95/6 | 15 5/6 |
96/6 | 16 |
97/6 | 16 1/6 |
98/6 | 16 1/3 |
99/6 | 16 1/2 |
100/6 | 16 2/3 |