Simplify Mixed Number Calculator

The Simplify Mixed Number Calculator is a powerful tool that streamlines the process of mixed number simplification. With its quick and accurate algorithms, this calculator can easily convert any mixed number into its simplest form in just a few simple steps.

How to Simplify Mixed Numbers

To simplify a mixed number, you need to convert it into an improper fraction and then simplify the fraction. Here are the steps to simplify a mixed number:

1. Convert the mixed number into an improper fraction: To do this, you need to multiply the whole number part of the mixed number by the denominator of the fraction and add the numerator to the result. This will give you the new numerator of the improper fraction. The denominator remains the same.
2. Simplify the improper fraction: To simplify the fraction, divide the numerator and denominator by their greatest common factor (GCF). The GCF is the largest number that divides both the numerator and denominator evenly. Continue dividing both the numerator and denominator by the GCF until you can't divide anymore. The resulting fraction is the simplified form of the mixed number.

For example, let's simplify the mixed number 3 1/2. First, we convert it into an improper fraction:

(3 x 2) + 1 = 7

So, 3 1/2 can be written as 7/2. Now, to simplify the fraction 7/2, we find the GCF of 7 and 2, which is 1. Since the GCF is 1, the fraction is already in its simplest form, and the answer is 7/2.

Note: If the numerator of the simplified fraction is greater than or equal to the denominator, you can convert the fraction back into a mixed number by dividing the numerator by the denominator and writing the whole number part as a whole number and the remainder as a fraction.

Examples of Simplified Mixed Numbers