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Simplify Factors

Simplify Factors. Lesson 2.4 Simplest form is a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator . Essential Question (E.Q.). How do you simplify fractional factors by using the greatest common factor?. Simplify Factors .

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Simplify Factors

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  1. Simplify Factors Lesson 2.4 Simplest form is a fraction in which 1 is the only number that can divide evenly into the numerator and the denominator.

  2. Essential Question (E.Q.) How do you simplify fractional factors by using the greatest common factor?

  3. Simplify Factors 1. Simplify the product. • Multiply numerators. • Multiply the denominators. 2 7 5 10 2 7 = 145 10 = 50

  4. Simplify Factors Simplify using the GCF. Divide the numerator and the denominator by GCF. 14 501 X 14 1 X 502 X 72X 25 5 X 10 14 2 = 7 50 2 = 25

  5. Simplify Factors 2. Simplify before multiplying. • Write the problem as a single fraction. 2 7 5 10 2 7 = 2x75 10 = 5x10 X X

  6. Simplify Factors • Think: Do any numbers in the numerator have common factors with numbers in the denominator? 2 7 = 2x75 10 = 5x10 2 and 10 have a common factor other than 1. X

  7. Fractions and Decimals Simplify using the GCF. Divide the common numerator and the denominator by GCF. 2 101 X 2 1 X 102 X5 127 = 1x7 5 10 = 5x5 5 2 divided by 2 =1 10 divided by 2 =5 X

  8. Fractions and Decimals • Multiply the numerators. • Multiply the denominators. 1x7 = 7 5x5 = 25

  9. Fractions and Decimals Example: Simplify before multiplying. Divide the numerator and denominator by their GCF. X 5 14 8 15 1 5x14 8x15 3 The GCF of 5 and 15 is 5.

  10. Fractions and Decimals Example: Simplify before multiplying. Divide the numerator and denominator by their GCF. X 5 14 8 15 1 7 5x14 = 78x15= 12 4 3 The GCF of 8 and 14 is 2.

  11. Fractions and Decimals • Multiply the numerators. • Multiply the denominators. So, 5/8 X 14/15= 7/12. 1x7 = 7 4x3 = 12

  12. Let’s Try Find the product. Simplify before multiplying. • 3/4 X 1/6 2. 5/8 X 2/5 3. 11/12 X 3/7

  13. Answer to E.Q. I find the GCF of a number in a numerator and a number in a denominator. Then I divide the numerator and denominator by the GCF.

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