What is 31/9 as a Mixed Number?

Here we will show you how to convert the improper fraction 31/9 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

		31
		9

Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 31 by 9 and keep only what is to the left of the decimal point:

31 / 9 = 3.4444 = 3

Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

31 - (9 x 3) = 4

Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 31/9 as a mixed number is:

		4
		9

Improper Fraction To Mixed Number Converter
31/9 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 31/10 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

31 above the division line is called the numerator and 9 below the divison line is called the denominator.

We call the line that separates 31 and 9 the division line. It is also known as the fraction bar or vinculum.

31/9 is an improper fraction because the numerator is greater than the denominator.

A mixed number is an integer (whole number) and a proper fraction.