83/12 to a mixed number

How to write 83/12 as a Mixed Number?

Answer: Fraction 83/12 as a mixed number it is 6 11/12

Since we have an improper fraction (the numerator [83] is greater than the denominator [12]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

83
/
12
=6
11
/
12

Steps to convert 83/12 to a mixed number

In order to convert our improper fraction 83/12 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 [12] goes into the numerator [83]. To do this we divide the numerator by the denominator:

83 ÷ 12 = 6.92 = 6

(Quotient of 6 and a remainder of 11)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].

You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [12]. And then subtract the result from the original numerator [83]:

83 - (6 × 12)

=

83 - 72 = 11

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [12], and then put the whole number [6] before it

83
/
12
=6
11
/
12

That's it! We have successfully converted the improper fraction 83/12 to the mixed number 6 11/12.

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 83/12 as a Mixed Number? (The answer is: 6 11/12). Enter the fraction (numerator and denominator) (e.g. '83/12') 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
6 11/12
84/127
86/12
87/12
88/12
90/12
92/12
93/12
94/12
7 11/12
96/128
98/12
99/12
100/12
102/12
104/12
105/12
106/12
8 11/12
108/129
109/12
110/12
111/12
112/12

FAQ

How to write 83/12 as a Mixed Number?

Fraction 83/12 as a mixed number it is 6 11/12