31/20 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

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How to write 31/20 as a Mixed Number?

Answer

The fraction 31/20 as a mixed number is 1 11/20

Since we have an improper fraction (the numerator [31] is greater than the denominator [20]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
20
= 1
11
20

Steps to convert 31/20 to a mixed number

In order to convert our improper fraction 31/20 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 [20] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 20 = 1.55 = 1

(Quotient of 1 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 [1] and multiplying it by the original denominator [20]. And then subtract the result from the original numerator [31]:

31 - (1 × 20)

=

31 - 20 = 11

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [11] and put it above the original denominator [20], and then put the whole number [1] before it

31
20
= 1
11
20

That's it! We have successfully converted the improper fraction 31/20 to the mixed number 1 11/20.

Related Calculations

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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 31/20 as a Mixed Number? (The answer is: 1 11/20). Enter the fraction (numerator and denominator) (e.g. '31/20') 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 Mixed Number Converter

Improper Fraction to Convert

/

Fraction to a Mixed Number Conversion Table

Fraction Mixed Number
31/20 1 11/20
32/20 1 3/5
33/20 1 13/20
34/20 1 7/10
35/20 1 3/4
36/20 1 4/5
37/20 1 17/20
38/20 1 9/10
39/20 1 19/20
40/20 2
41/20 2 1/20
42/20 2 1/10
43/20 2 3/20
44/20 2 1/5
45/20 2 1/4
46/20 2 3/10
47/20 2 7/20
48/20 2 2/5
49/20 2 9/20
50/20 2 1/2
51/20 2 11/20
52/20 2 3/5
53/20 2 13/20
54/20 2 7/10
55/20 2 3/4
56/20 2 4/5
57/20 2 17/20
58/20 2 9/10
59/20 2 19/20
60/20 3

FAQ

How to write 31/20 as a Mixed Number?
The fraction 31/20 as a mixed number is 1 11/20

How do you convert 31/20 to a mixed number?
To convert 31/20 to a mixed number, divide the numerator (31) by the denominator (20). The quotient is 1 (whole number) and the remainder is 11. So 31/20 = 1 11/20.

What is the difference between an improper fraction and a mixed number?
An improper fraction has a numerator greater than or equal to its denominator (e.g., 31/20). A mixed number combines a whole number with a proper fraction (e.g., 1 11/20). They represent the same value.

See Also