What is 407/8 as a Mixed Number?

Here we will show you how to convert the improper fraction 407/8 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

		407
		8

Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 407 by 8 and keep only what is to the left of the decimal point:

407 / 8 = 50.8750 = 50

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

407 - (8 x 50) = 7

Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 407/8 as a mixed number is:

		7
		8

Improper Fraction To Mixed Number Converter
407/8 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 407/9 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

407 above the division line is called the numerator and 8 below the divison line is called the denominator.

We call the line that separates 407 and 8 the division line. It is also known as the fraction bar or vinculum.

407/8 is an improper fraction because the numerator is greater than the denominator.

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