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College Algebra / Unit 2   Alg 103 short lesson, about 20 seconds

Only Factors Cancel

Captions available

The idea

Cancellation in a fraction removes a factor shared by the whole numerator and the whole denominator; a factor multiplies, a term adds.

In practice

In (3x)/(3y), the 3s multiply and cancel to x/y. In (x + 3)/3, the 3 adds — nothing cancels.

Where people slip

Divided by itself, an expression is 1; that is the entire license.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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