What is 390/8 as a Mixed Number?

Here we will show you how to convert the improper fraction 390/8 to a mixed number (aka mixed fraction). We start by setting up the fraction below.

		390
		8

Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 390 by 8 and keep only what is to the left of the decimal point:

390 / 8 = 48.7500 = 48

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

390 - (8 x 48) = 6

Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

		6
		8

Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 2, which is the greatest common factor, to get the final answer. 390/8 as a Mixed Number is:

		3
		4

Improper Fraction To Mixed Number Converter
390/8 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 390/9 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

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

We call the line that separates 390 and 8 the division line. It is also known as the fraction bar or vinculum.

390/8 is an improper fraction because the numerator is greater than the denominator.

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