71/6 to a mixed number

How to write 71/6 as a Mixed Number?

Answer: Fraction 71/6 as a mixed number it is 11 5/6

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):

71
/
6
=11
5
/
6

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

71
/
6
=11
5
/
6

That's it! We have successfully converted the improper fraction 71/6 to the mixed number 11 5/6.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
11 5/6
72/612
12 1/6
74/612 1/3
75/6
76/612 2/3
12 5/6
78/613
13 1/6
80/613 1/3
81/613 1/2
82/613 2/3
83/613 5/6
84/614
14 1/6
86/614 1/3
87/614 1/2
88/614 2/3
89/614 5/6
90/615
15 1/6
92/615 1/3
93/615 1/2
94/615 2/3
15 5/6
96/616
97/616 1/6
98/616 1/3
99/616 1/2
100/616 2/3

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 71/6 as a Mixed Number? (The answer is: 11 5/6). Enter the fraction (numerator and denominator) (e.g. '71/6') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

FAQ

How to write 71/6 as a Mixed Number?

Fraction 71/6 as a mixed number it is 11 5/6