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Simplifying Complex Fractions and Operations on Mixed Numbers

This guide covers the simplification of complex fractions, defined as fractions with a numerator, denominator, or both containing fractions. Key concepts include finding the least common denominator (LCD) and alternative methods for simplification. Additionally, it explores operations on mixed numbers, including multiplication, division, addition, and subtraction. This resource offers step-by-step instructions for converting mixed numbers to improper fractions and performing arithmetic operations. Effective strategies to handle complex fractions and mixed numbers will enhance your mathematical skills significantly.

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Simplifying Complex Fractions and Operations on Mixed Numbers

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  1. 4.6 – Complex Fractions Simplifying Complex Fractions Complex Fraction. Defn: A fraction whose numerator or denominator or both contain fractions.

  2. 4.6 – Complex Fractions Simplifying Complex Fractions Simplify.

  3. 4.6 – Complex Fractions Simplifying Complex Fractions Simplify. LCD: 6 LCD: 12

  4. 4.6 – Complex Fractions Simplifying Complex Fractions Simplify. Alternate Method LCD: 12

  5. 4.6 – Complex Fractions Simplifying Complex Fractions Simplify. LCD: 5

  6. 4.6 – Complex Fractions Order of Operations and Complex Fractions Simplify. LCD: 9

  7. 4.6 – Complex Fractions Order of Operations and Complex Fractions Simplify. LCD: 10

  8. 4.7 – Operations on Mixed Numbers Multiplying and Dividing 1. Write any whole or mixed number as an improper fraction. 2. Use the multiplication and/or division rules of fraction accordingly.

  9. 4.7 – Operations on Mixed Numbers Multiplying and Dividing

  10. 4.7 – Operations on Mixed Numbers Adding and Subtracting 1. Add or subtract the fraction parts of the mixed numbers. 2. Add or subtract the whole numbers. 3. Simplify the answer. LCD: 30

  11. 4.7 – Operations on Mixed Numbers Adding and Subtracting LCD: 15

  12. 4.7 – Operations on Mixed Numbers Adding and Subtracting LCD: 18

  13. 4.7 – Operations on Mixed Numbers Adding and Subtracting LCD: 35

  14. 4.7 – Operations on Mixed Numbers Adding and Subtracting The girth of a maple tree is feet. The girth of a beech tree is feet. How much larger is the beech tree than the maple tree? LCD: 12

  15. 4.7 – Operations on Mixed Numbers Adding and Subtracting A dress design requires yards of material. How many dresses could be made from a bolt of material that contains 44 yards?

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