82/31 to a mixed number

How to write 82/31 as a Mixed Number?

Answer: Fraction 82/31 as a mixed number it is 2 20/31

Since we have an improper fraction (the numerator [82] is greater than the denominator [31]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

82
/
31
=2
20
/
31

Steps to convert 82/31 to a mixed number

In order to convert our improper fraction 82/31 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 [31] goes into the numerator [82]. To do this we divide the numerator by the denominator:

82 ÷ 31 = 2.65 = 2

(Quotient of 2 and a remainder of 20)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [20].

You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [31]. And then subtract the result from the original numerator [82]:

82 - (2 × 31)

=

82 - 62 = 20

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [20] and put it above the original denominator [31], and then put the whole number [2] before it

82
/
31
=2
20
/
31

That's it! We have successfully converted the improper fraction 82/31 to the mixed number 2 20/31.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
2 20/31
83/312 21/31
84/312 22/31
85/312 23/31
86/312 24/31
87/312 25/31
88/312 26/31
89/312 27/31
90/312 28/31
91/312 29/31
92/312 30/31
93/313
94/313 1/31
95/313 2/31
96/313 3/31
97/313 4/31
98/313 5/31
99/313 6/31
3 7/31
101/313 8/31
102/313 9/31
103/313 10/31
104/313 11/31
105/313 12/31
106/313 13/31
107/313 14/31
108/313 15/31
109/313 16/31
110/313 17/31
111/313 18/31

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 82/31 as a Mixed Number? (The answer is: 2 20/31). Enter the fraction (numerator and denominator) (e.g. '82/31') 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 82/31 as a Mixed Number?

Fraction 82/31 as a mixed number it is 2 20/31