31/20 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

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.

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 31/20 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

FAQ

How to write 31/20 as a Mixed Number?

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

How is 31/20 split into a whole part and a fraction?

Divide the numerator (31) by the denominator (20): the quotient 1 is the whole part and the remainder 11 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 1 11/20.

How can you check that 31/20 equals 1 11/20?

Multiply the whole part by the denominator and add the remainder back: 1 × 20 = 20, and 20 + 11 = 31 — exactly the numerator you started with.