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Write
12
32
in simplest form. You must show your work to receive all possible points.
To simplify the fraction 12/32, we can find the greatest common divisor (GCD) of the numerator and denominator and then divide both by that number.
Step 1: Find the GCD of 12 and 32.
To find the GCD, we can list the factors of both numbers and determine the greatest common factor. Here are the factors of 12: 1, 2, 3, 4, 6, and 12. And here are the factors of 32: 1, 2, 4, 8, 16, and 32.
The common factors are 1, 2, and 4. The greatest common factor is 4.
Step 2: Divide both the numerator and denominator by the GCD.
12/32 divided by 4 = 3/8.
Therefore, the simplified form of 12/32 is 3/8.
Explanation:
To simplify a fraction, you need to divide the numerator and denominator by their greatest common divisor (GCD). The GCD is the largest factor that divides both the numerator and denominator without any remainder. Once you find the GCD, you divide both numbers by it to simplify the fraction. This gives you the simplest form of the fraction, where the numerator and denominator have no more common factors other than 1.