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Objective:

Objective: You will learn how to apply the Greatest Common Factor (GCF) and the Lowest Common Multiple (LCM) to rename fractions by considering which manipulation will best help you simplify , compare , or operate . You know that….

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Objective:

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  1. Objective: You will learn how to apply the Greatest Common Factor (GCF) and the Lowest Common Multiple (LCM) to rename fractions by considering which manipulation will best help you simplify, compare, or operate.

  2. You know that… • a fraction can be renamed to an equivalent fraction by applying the Identity Property of Multiplication or Division • create equivalent fractions to • reduce to lower terms • simplify to lowest terms • rename to compare • rename to operate

  3. Simplify, compare, or operate on fractions by using the GCF and/or LCM (LCD). Simplify a fraction to lowest terms by dividing it by a fraction name for 1 comprised of the Greatest Common Factor (GCF) between the numerator and denominator

  4. Simplify, compare, or operate on fractions by using the GCF and LCM (LCD). Reduce a fraction to lower terms by dividing it by a fraction name for 1 comprised of common factor between the numerator and denominator

  5. Simplify, compare, or operate on fractions by using the GCF and LCM (LCD). Rename a fraction to greater terms by multiplying it by a fraction name for 1 comprised of common factor between the numerator and denominator

  6. Simplify, compare, or operate on fractions by using the GCF and LCM (LCD). Rename fractions to fractions with common denominators by using the Lowest Common Multiple (LCM) or Lowest Common Denominator (LCD)

  7. Solve a problem by deciding to use the GCF and/or the LCMto simplify, compare, or operate. Problem: Compare 4/5 and 5/16. • Strategy • Rename the fractions to the LCD

  8. Conclusion: You will learn how to apply the Greatest Common Factor (GCF) and the Lowest Common Multiple (LCM) to rename fractions by considering which manipulation will best help you simplify, compare, or operate. • To simplify fractions to lowest terms, apply the GCF • To rename or compare fractions, apply the LCM

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