Simplify Mixed Number Calculator

The Mixed Number Simplification Calculator is a powerful tool that streamlines the process of simplifying mixed numbers. With its fast and accurate algorithms, this calculator can easily convert any mixed number to its simplest form in just a few easy steps.

How to Simplify Mixed Numbers

To simplify a mixed number, it is necessary to convert it to an improper fraction and then simplify the fraction. These are the steps to simplify a mixed number:

1. Convert the mixed number to an improper fraction: To do this, you must multiply the whole 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 the denominator by their greatest common divisor (GCD). The GCD is the largest number that evenly divides both the numerator and the denominator. Continue dividing the numerator and the denominator by the GCD until you cannot divide further. 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 to 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 GCD of 7 and 2, which is 1. Since the GCD 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 to a mixed number by dividing the numerator by the denominator and writing the whole part as an integer and the remainder as a fraction.

Examples of Simplified Mixed Numbers