31/21 to a mixed number

How to write 31/21 as a Mixed Number?

Answer: Fraction 31/21 as a mixed number it is 1 10/21

Since we have an improper fraction (the numerator [31] is greater than the denominator [21]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
21
=1
10
/
21

Steps to convert 31/21 to a mixed number

In order to convert our improper fraction 31/21 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 [21] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 21 = 1.48 = 1

(Quotient of 1 and a remainder of 10)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [10].

You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [21]. And then subtract the result from the original numerator [31]:

31 - (1 × 21)

=

31 - 21 = 10

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [10] and put it above the original denominator [21], and then put the whole number [1] before it

31
/
21
=1
10
/
21

That's it! We have successfully converted the improper fraction 31/21 to the mixed number 1 10/21.

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 31/21 as a Mixed Number? (The answer is: 1 10/21). Enter the fraction (numerator and denominator) (e.g. '31/21') 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
1 10/21
1 11/21
33/21
34/211 13/21
35/21
36/21
37/211 16/21
38/211 17/21
39/21
1 19/21
41/211 20/21
42/212
43/21
44/212 2/21
45/21
46/212 4/21
47/212 5/21
48/21
49/21
50/21
51/21
52/212 10/21
53/212 11/21
54/21
55/212 13/21
56/21
57/21
58/212 16/21
59/212 17/21
60/21

FAQ

How to write 31/21 as a Mixed Number?

Fraction 31/21 as a mixed number it is 1 10/21