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In the Brilliant app it just introduces this simplification method (of multiplying?) out of the blue, without explaining it or introducing the concept. What is this called and where can I learn about it?

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This is finding a common denominator. The common denominator is 30 (simply just multiply the denominators). x/6 = 5x/30 and x/5 = 6x/30.

x/5 - x/6 = 6x/30 - 5x/30 = (6x - 5x)/30 = x/30
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