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Post1300_section1o3 - o Add or subtract the numerators(keep...

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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 40. 2. Find the GCF of 15 and 36. 3. Find the GCF of 36, 45, and 90.
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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 20: 2. Find the LCM of 18 and 60. 3. Find the LCM of 4, 6 and 8. 4. Find the LCM of 21, 50 and 90.
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3 Recall - Converting improper fractions to mixed numbers: = 5 6 = 7 12 = 5 14 = 22 29 = 12 42 = 16 60 = - 5 21 = 6 1 2 = 11 7 5 = 16 5 1 = - 7 1 2
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4 Adding and Subtracting Fractions: o Find a least common denominator using method for LCM o Change the numerators of each fraction
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Unformatted text preview: 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 15 2 4. =-6 1 9 5 5. =-+ 60 1 15 4 12 1 6. =-4 1 2 10 1 5 5 7. =-+-10 7 12 1 2 6 1 1 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. 7 2 5 1 × 2. = × 3 2 8 5 3. = × 6 10 7 4. = × -3 5 10 1 2 6 Dividing Fractions: o Multiply the first fraction by the reciprocal of the second Examples: 1. = ÷ 7 10 2 5 2. = ÷ 11 8 5 4 3. = ÷ 8 9 4 4. = 15 22 5 48 5. = - -9 2 10 7...
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