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Simplifying Fractions: Reduce to Simplest Form!

Learn how to simplify fractions by factoring and canceling common factors. Also, explore divisibility rules for quicker simplification, factoring, and dividing. Homework exercises included.

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Simplifying Fractions: Reduce to Simplest Form!

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  1. Warm- Up #1 Ch1: Evaluate for x = 6 and y = 4

  2. : Evaluate for x = 6 and y = 4 30 8 15 1 6 19

  3. 1.2 Simplifying Expressions • We will be able to reduce all fractions to simplest terms!

  4. Vocabulary: Simplest Form: The only common factor between the numerator and denominator is 1. We call this process simplifying. Factor: When two or more numbers are multiplied to form a product, each of those numbers are called a factor. (A factor is also a divisor)

  5. To “simplify fractions”: Factor, and cancel common factors.

  6. To “simplify fractions”: Factor, and cancel common factors.

  7. To “simplify fractions”: Factor, and cancel common factors.

  8. Divisibility Rules: These are simple rules to make simplifying, factoring and dividing take less time!

  9. 2- Rule: even number? 3-Rule: sum of digits divisible by 3? 4-Rule: last 2 digits divisible by 4? 5-Rule: last digit 5 or 0? 6-Rule: follows rules for 2 &3 Nike Rule: “just do it” (÷7) 9-Rule:sum of digits divisible by 9? 10-Rule: Ends in a 0

  10. To “simplify fractions”: Factor, and cancel common factors.

  11. To “simplify fractions”: Factor, and cancel common factors. ? You cannot “cancel” when it is an addition expression!!!

  12. Homework: Page 14 (15 – 29)

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