how to symplify fractions fast

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To simplify fractions quickly, you can follow these steps:

1. Find the Greatest Common Divisor (GCD): Determine the largest number that divides evenly into both the numerator (top number) and the denominator (bottom number) of the fraction.

2. Divide the numerator and the denominator by their GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction.

3. Repeat steps 1 and 2, if necessary: If there is still a common factor that can be divided out, continue to find the GCD and divide until the fraction cannot be simplified further.

Let's work through an example:

Example: Simplify the fraction 24/36

1. Find the GCD: The GCD of 24 and 36 is 12 (the largest number that divides evenly into both 24 and 36).

2. Divide the numerator and the denominator by 12: Divide both 24 and 36 by 12.
24/12 = 2
36/12 = 3

3. The simplified fraction is 2/3.

By following these steps, you can simplify fractions quickly and efficiently.