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1300_section1o3_after - o Change the numerators of each...

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1 1.3 Fractions GCF (Greatest Common Factor) 1. Write each of the given numbers as a product of prime factors. 2. The GCF of two or more numbers is the product of all prime factors common to every number. Example: 10 = 2.5 and 8 = 2 3 . GCF of 10 and 8 is: 2 Examples: 1. Find the GCF of 24 and 32. 2. Find the GCF of 15 and 27. 3. Find the GCD of 27, 18, and 45.
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2 LCM (Least Common Multiple) 1. Write each of the given numbers as a product of prime factors. 2. Take the greatest power on each prime and multiply them. Example: 10 = 2.5 and 8 = 2 3 . LCM of 10 and 8 is: 2 3 .5 = 40. Examples: 1. Find the LCM of 15 and 27: 2. Find the LCM of 18 and 36. 3. Find the LCM of 15, 18, and 36. 4. Find the LCM of 2, 5 and 10.
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3 Recall: Converting improper fractions to mixed numbers: = 5 6 = 7 12 = 5 14 = 22 29 = 12 42 = 16 60 = 6 1 2 = 11 7 5 = 16 5 1
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4 Adding and Subtracting Fractions: o Find a least common denominator using method for LCM
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Unformatted text preview: o Change the numerators of each fraction o Add or subtract the numerators (keep denominator unchanged) o Reduce Examples: 1. = + 5 1 4 1 2. = + 8 3 6 5 3. = + + 10 3 6 1 5 2 5 4. =-6 1 5 2 5. =-4 1 2 5 1 3 6. =-+ 10 3 5 4 2 1 6 7. =-+ 10 3 5 1 3 4 1 2 8. = + 4 5 4 Multiplying and Dividing Fractions: o Simplify the fractions if not in lowest terms. o Multiply the numerators of the fractions to get the new numerator. o Multiply the denominators of the fractions to get the new denominator. Examples: 1. 3 2 5 1 × 7 2. = × 3 2 8 5 3. = × 6 5 4 Dividing Fractions: o Multiply the first fraction by the reciprocal of the second Examples: 1. = ÷ 7 6 2 3 2. = ÷ 11 8 5 4 8 3. = ÷ 8 9 4 4. = 7 2 5 4 5. = - -9 2 10 7...
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