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Lesson 6 Continued Fractions

Lesson 6 Continued Fractions. Multiplication & Division. Multiplication of Fractions p99. Rule: In an indicated multiplication of two or more fractions, any factor of any numerator can be divided out with a like factor of any denominator. Examples:

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Lesson 6 Continued Fractions

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  1. Lesson 6 Continued Fractions Multiplication & Division

  2. Multiplication of Fractions p99 • Rule: In an indicated multiplication of two or more fractions, any factor of any numerator can be divided out with a like factor of any denominator. • Examples: • 2/3 X 2/5X ¾= 2 2/5 X 4 3/8= 2x2x3 2x5+2 x 4x8+3 3x 5 x 4 5 8 2x2x3 12 x 35 3x5x2x2 5 8 1 3x4 x5 x7 21 5 5 x2 x4 = 2 = 10 1/2

  3. The Steps of Multiplication of Fraction: • If there is mixed numbers, change the mixed numbers into improper fractions • Break down the both numerator and denominators into prime numbers • Reduce them into the simplest form • Multiplying the numerator to numerator (the top number with the top number); the denominator with denominators (the bottom number with the bottom number) • Finally, if the answer is the Improper Fraction, you should determine it to the Mixed Number (the answer must be in Proper Fraction form or Mixed Number form and in the simplifies form)

  4. Do Now • ¾ x 16/27 • 2 3/7 x 1 1/34

  5. Division of Fractions: • Reciprocals (the Invert) • 2--- ½ ; • 5/7--- 7/5 • A complex Fraction: • A/B  C/D =a/b x d/c • Examples: • 5/8  ½ • 8 2/3  3 ¼

  6. Modeling 5/8  ½ 8 2/3  3 ¼ 5 x2 8 X 3 +2  3 X 4 +1 2x 2x 2 1 3 4 5 x 2 26  13 2x2x2x1 3 2x2 5 2 x13 x 2 x 2 4 3 x 13 = 1 ¼ 8/3= 2 2/3

  7. The steps of division of fraction: • If there is mixed numbers, change the mixed numbers into improper fractions • To invert the divisor (the 2nd fraction) then they become multiplication of the fraction • Break down the both numerator and denominators into prime numbers • Reduce them into simplifies form • Multiplying the numerator to numerator (the top number with the top number); the denominator with denominators (the bottom number with the bottom number) • Finally, if the answer is Improper Fraction, you should determine it to Mixed Number (the answer must be Proper Fraction/Mixed Number and in the simplifies form)

  8. Do Now • 7  ¾ • ¼ 3 • ¾  9/16 • 3 2/5  4 8/15

  9. Lesson Summary • Complete the follow-up assignment • Prepare for next lesson

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