31/6 to a mixed number

How to write 31/6 as a Mixed Number?

Answer: Fraction 31/6 as a mixed number it is 5 1/6

Since we have an improper fraction (the numerator [31] is greater than the denominator [6]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
6
=5
1
/
6

Steps to convert 31/6 to a mixed number

In order to convert our improper fraction 31/6 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 [6] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 6 = 5.17 = 5

(Quotient of 5 and a remainder of 1)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].

You may also calculate a remainder by using the whole number we calculated in the first step [5] and multiplying it by the original denominator [6]. And then subtract the result from the original numerator [31]:

31 - (5 × 6)

=

31 - 30 = 1

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [6], and then put the whole number [5] before it

31
/
6
=5
1
/
6

That's it! We have successfully converted the improper fraction 31/6 to the mixed number 5 1/6.

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 31/6 as a Mixed Number? (The answer is: 5 1/6). Enter the fraction (numerator and denominator) (e.g. '31/6') 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

FAQ

How to write 31/6 as a Mixed Number?

Fraction 31/6 as a mixed number it is 5 1/6