31/12 to a mixed number

How to write 31/12 as a Mixed Number?

Answer: Fraction 31/12 as a mixed number it is 2 7/12

Since we have an improper fraction (the numerator [31] is greater than the denominator [12]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
12
=2
7
/
12

Steps to convert 31/12 to a mixed number

In order to convert our improper fraction 31/12 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 [31]. To do this we divide the numerator by the denominator:

31 ÷ 12 = 2.58 = 2

(Quotient of 2 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

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 [12]. And then subtract the result from the original numerator [31]:

31 - (2 × 12)

=

31 - 24 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [12], and then put the whole number [2] before it

31
/
12
=2
7
/
12

That's it! We have successfully converted the improper fraction 31/12 to the mixed number 2 7/12.

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 31/12 as a Mixed Number? (The answer is: 2 7/12). Enter the fraction (numerator and denominator) (e.g. '31/12') 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
32/12
33/12
34/12
2 11/12
36/123
38/12
40/12
42/12
44/12
45/12
46/12
3 11/12
48/124
50/12
51/12
52/12
54/12
56/12
57/12
58/12
4 11/12
60/125

FAQ

How to write 31/12 as a Mixed Number?

Fraction 31/12 as a mixed number it is 2 7/12