Improper Fraction to Mixed Number Calculator
Enter the improper fraction in the fields below to convert it to a mixed number. The calculator shows all the work so you can follow along and learn the steps.
Steps to Convert to a Mixed Number
On this page:
You might also like our calculator to convert a mixed number to an improper fraction.
How to Convert an Improper Fraction to a Mixed Number
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. Therefore, the value of the fraction is greater than or equal to 1.
Step One: Use Long Division
The first step in the conversion is to use long division to find the quotient and the remainder. These will be used in the next step.
When doing long division with a fraction, the numerator will be the dividend, and the denominator will be the divisor.
For example, let’s solve the quotient and remainder of 7/3.
First, add the numerators:
7 / 3 = 7 ÷ 3
7 ÷ 3 = 2 R1
Thus, the quotient is 2, and the remainder is 1.
Step Two: Rewrite the Quotient and Remainder to the Mixed Number
The second step is to rewrite the fraction as a mixed number using the quotient and remainder from the previous step, along with the original denominator.
To convert, set the quotient as the whole number, the remainder as the numerator, and the original denominator as the denominator.
For example, let’s use the quotient and remainder from the previous step to rewrite 7/3 as a mixed number.
- quotient = 2
- remainder = 1
- original denominator = 3
Using these values, the rewritten mixed number is:
2 1 / 3
That’s it! You have now rewritten an improper fraction as a mixed number in two simple steps.
This method works great for converting a fraction to a mixed number, but you might also like our fraction simplifier to simplify fractions smaller than 1.