What is 413/30 as a Mixed Number?

Here we will show you how to convert the improper fraction 413/30 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

		413
		30

Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 413 by 30 and keep only what is to the left of the decimal point:

413 / 30 = 13.7667 = 13

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

413 - (30 x 13) = 23

Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 413/30 as a mixed number is:

		23
		30

Improper Fraction To Mixed Number Converter
413/30 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 413/31 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

413 above the division line is called the numerator and 30 below the divison line is called the denominator.

We call the line that separates 413 and 30 the division line. It is also known as the fraction bar or vinculum.

413/30 is an improper fraction because the numerator is greater than the denominator.

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