31/9 to a mixed number

How to write 31/9 as a Mixed Number?

Answer: Fraction 31/9 as a mixed number it is 3 4/9

Since we have an improper fraction (the numerator [31] is greater than the denominator [9]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
9
=3
4
/
9

Steps to convert 31/9 to a mixed number

In order to convert our improper fraction 31/9 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 [9] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 9 = 3.44 = 3

(Quotient of 3 and a remainder of 4)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [4].

You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [31]:

31 - (3 × 9)

=

31 - 27 = 4

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [4] and put it above the original denominator [9], and then put the whole number [3] before it

31
/
9
=3
4
/
9

That's it! We have successfully converted the improper fraction 31/9 to the mixed number 3 4/9.

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 31/9 as a Mixed Number? (The answer is: 3 4/9). Enter the fraction (numerator and denominator) (e.g. '31/9') 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.

FAQ

How to write 31/9 as a Mixed Number?

Fraction 31/9 as a mixed number it is 3 4/9