Describe Simplifying Fractions with example?

When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, divide the numerator and denominator by their GCF. Greatest Common Factor (GCF) is the largest factor of both the numerator and the denominator.

Example: Reduce the fraction 8/24.

Step 1: Find the GCF of the numerator and the denominator, unless the fraction is already in simplest form.
The factors of 8 are {1, 2, 4, 8}.
The factors of 24 are {1, 2, 3, 4, 6, 8, 12, 24}.
So, the GCF of 8 and 24 is 8.

Step 2: Divide the numerator and denominator of the fraction by the GCF that you found in step 1. 8/24is 1/3 in simplest form.
(8+8)/(24+8)= 1/3

Note: Multiplying or dividing the numerator and denominator by the same number doesn't change the value of the fraction. 8/24and 1/3 mean the same thing.

More examples of reduced fractions:

24/32 = 24 +8/32 +8 = 3/4
16/4 = 16+4/4 +4 = 4/1 = 4