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Copyright © 2011 Pearson Education, Inc. Fractions Write equivalent fractions. 2.Write equivalent fractions with the LCD. 3.Write the prime factorization of a number. 4.Simplify a fraction to lowest terms.

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Numerator Denominator Part Whole Fractions

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Equivalent Fractions ∙ 2 ∙ 3 ∙ 2 ÷ 3

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Prime factorization: Factors: Expressions that are being multiplied. Prime number:A natural number that has only 1 and the number itself as factors. 2, 3, 5, 7, 11, 13, 17, 19, 23,… A factorization that contains only prime factors. 1, 2, 3, 4, 6 and 12 are factors of 12. Prime factorization of 12 is 2 ∙ 2 ∙ 3.

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Divide by prime numbers! 2, 3, 5, 7, 11, … Find the prime factorization of 20. Factor Tree Factor Tower

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0, 2, 4, 6, 8 372: = 12 5, 10, 15, 20, … 10, 20, 30, 40, … 259: = 16

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Find the prime factorization of 60. Factor Tree Factor Tower

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Find the prime factorization of 48. Factor Tree Factor Tower

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Find the LCD. 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 6: 10, 20, 30, 40, 50, 60 10: LCD = 30 Using Multiples Use when numbers are small.

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2∙3 2∙5 LCD: 2 ∙ 3∙ 5= 30 Find the LCD. Using Prime Factorization

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Find the LCD. 12, 24, 36, 48, 60 12: 9, 18, 27, 36 9: LCD = 36 Using Multiples

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Find the LCD. Using Prime Factorization 2∙2∙3 3∙3 LCD: ∙ 3 = 36 2∙2∙3

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Write the fractions as equivalent fractions with the LCD. LCD: 24 ∙3 ∙2

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Write the fractions as equivalent fractions with the LCD. LCD: 2∙2∙2∙2∙3∙3 2∙2∙2∙2 2∙2∙3∙3 ∙9 ∙4 = 144 Suggestion:

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Reduce Fractions. Using Prime Factorization Using Greatest Common Factor GCF: 3 3 4

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Reduce Fractions. Using Prime Factorization Using Greatest Common Factor 5 7 GCF:6

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Reduce Fractions. Using Prime Factorization Using Greatest Common Factor GCF: Common Factor: Common Factor:2 ?

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At a company, 225 of the 1050 employees have optional eye insurance coverage as part of their benefits package. What fraction of the employees have optional eye insurance coverage? Answer 3 out of 14 employees have optional eye insurance. ÷ 5 ÷ 3

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