73/6 to a mixed number

How to write 73/6 as a Mixed Number?

Answer: Fraction 73/6 as a mixed number it is 12 1/6

Since we have an improper fraction (the numerator [73] is greater than the denominator [6]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

73
/
6
=12
1
/
6

Steps to convert 73/6 to a mixed number

In order to convert our improper fraction 73/6 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 [73]. To do this we divide the numerator by the denominator:

73 ÷ 6 = 12.17 = 12

(Quotient of 12 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 [12] and multiplying it by the original denominator [6]. And then subtract the result from the original numerator [73]:

73 - (12 × 6)

=

73 - 72 = 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 [6], and then put the whole number [12] before it

73
/
6
=12
1
/
6

That's it! We have successfully converted the improper fraction 73/6 to the mixed number 12 1/6.

See Also

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 73/6 as a Mixed Number? (The answer is: 12 1/6). Enter the fraction (numerator and denominator) (e.g. '73/6') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
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
14 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
16 5/6
102/617

FAQ

How to write 73/6 as a Mixed Number?

Fraction 73/6 as a mixed number it is 12 1/6