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4-6 Simplifying Fractions

4-6 Simplifying Fractions. Objective: Simplify fractions using the greatest common factor. 5-Minute Check. Find the GCF of each set of numbers or monomials. 22, 55. 5-Minute Check. Find the GCF of each set of numbers or monomials. 22, 55 11. 5-Minute Check.

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4-6 Simplifying Fractions

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  1. 4-6 Simplifying Fractions Objective: Simplify fractions using the greatest common factor.

  2. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55

  3. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 11

  4. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318

  5. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 106

  6. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30

  7. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30 3

  8. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30 • 12ab3, 16a4b2

  9. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30 • 12ab3, 16a4b2 4ab2

  10. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30 • 12ab3, 16a4b2 • 15mnp, 45mp3, 90m3n4

  11. 5-Minute Check • Find the GCF of each set of numbers or monomials. • 22, 55 • 106, 318 • 15, 18, 30 • 12ab3, 16a4b2 • 15mnp, 45mp3, 90m3n4 15m

  12. 4-6 Simplifying Fractions • Example • Write 63/105 in simplest form. • 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. • 105 7*5*3

  13. 4-6 Simplifying Fractions • Example • Write 63/105 in simplest form. • 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. • 105 7*5*3 • Divide the numerator and the denominator by 21.

  14. 4-6 Simplifying Fractions • Example • Write 63/105 in simplest form. • 63 = 7*3*3 The GCF of 63 and 105 is 3*7 or 21. • 105 7*5*3 • Divide the numerator and the denominator by 21. • Since the GCF of 3 and 5 is 1, the fraction • is in simplest form.

  15. 4-6 Simplifying Fractions • Example • Simplify . Assume that x and y are not equal to zero. 15x2y2 35xy2

  16. 4-6 Simplifying Fractions • Example • Simplify . Assume that x and y are not equal to zero. 15x2y2 35xy2 15x2y2 35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y.

  17. 4-6 Simplifying Fractions • Example • Simplify . Assume that x and y are not equal to zero. 15x2y2 35xy2 15x2y2 35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y. Divide the numerator and denominator by 5xy2.

  18. 4-6 Simplifying Fractions • Example • Simplify . Assume that x and y are not equal to zero. 15x2y2 35xy2 15x2y2 35xy2 The GCF of 15x2y2 and 35xy2 is 5*x*y*y. Divide the numerator and denominator by 5xy2. Since the GCF of 3x and 7 is 1, the fraction 3x/7 is in simplest form.

  19. 4-6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form. 24 60 40 100

  20. 4-6 Simplifying Fractions I need two volunteers to rewrite the fraction below in simplest form. 24 60 40 100 Each individual now needs to find other fractions that when reduced equals 2/5.

  21. 4-6 Simplifying Fractions Now find additional pairs of fractions that when reduced equal each other.

  22. 4-6 Simplifying Fractions Assignment: 20 - 42 even, 44 - 54 all Starting on page 198.

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