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The factor trees find the prime factorizations. The prime factorizations find the GCF. The GCF simplifies the fraction.

150

75,2

25,3,2

5,5,3,2

225

75,3

25,3,3

5,5,3,3

The GCF is 75

150/225 = 2/3

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Q: How do you Simplify the fraction 150 over 225 with factor trees?
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