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Equivalent and Simplifying Fractions

Algebraic Fractions. Equivalent and Simplifying Fractions. Multiplying Fractions. Dividing Fractions. www.mathsrevision.com. Adding Fractions. Subtracting Fractions. S3 Credit. S3 Starter Questions. www.mathsrevision.com. Algebraic Fractions. Learning Intention. Success Criteria.

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Equivalent and Simplifying Fractions

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  1. Algebraic Fractions Equivalent and Simplifying Fractions Multiplying Fractions Dividing Fractions www.mathsrevision.com Adding Fractions Subtracting Fractions www.mathsrevision.com

  2. S3 Credit S3 Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. Algebraic Fractions Learning Intention Success Criteria • To explain how to simplify algebraic fractions. • Understand term • Highest Common Factor. • 2. Simplify algebraic fractions by identifying HCF. www.mathsrevision.com www.mathsrevision.com

  4. Multiply top and bottom by any number or letter Multiply top and bottom by any number We already know how to create an equivalent fraction for numerical fractions. The exact same process is used for algebraic fractions. Equivalent Fractions Numerical Fraction Algebraic Fraction www.mathsrevision.com

  5. Common Denominator for 2 fractions Equivalent Fractions Numerical Fraction Algebraic Fraction www.mathsrevision.com

  6. Algebraic Fractions We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common. Examples HCF = Y HCF = 3 www.mathsrevision.com

  7. Algebraic Fractions Examples 1 1 1 1 3 1 3 1 6 1 1 1 1 1 1 1 1 1 www.mathsrevision.com

  8. Algebraic Fractions Examples 1 1 1 1 1 1 www.mathsrevision.com

  9. What Goes In The Box ? S4 Credit www.mathsrevision.com

  10. Algebraic Fractions S4 Credit Now try MIA Ex 2.1 Ch6 (page 117)

  11. Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  12. Algebraic Fractions Multiplication Learning Intention Success Criteria • To explain how to multiply algebraic fractions. • Know rules for multiplication simple fractions. • 2. Apply knowledge to algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  13. Algebraic Fractions Multiplication S4 Credit Algebraic Fraction Numerical fraction 3 5 1 10 1 2 www.mathsrevision.com

  14. Algebraic Fractions Multiplication S4 Credit Example 3 Example 2 1 1 1 1 www.mathsrevision.com

  15. What Goes In The Box ? S4 Credit www.mathsrevision.com

  16. Algebraic Fractions Multiplication S4 Credit Now try MIA Ex 3.1 Ch6 (page 120)

  17. Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  18. Algebraic Fractions Division Learning Intention Success Criteria • To explain how to divide algebraic fractions. • Know rules for division of simple fractions. • 2. Apply knowledge to algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  19. Algebraic Fractions Division S4 Credit Algebraic Fraction Numerical Fraction 8 1 15 1 www.mathsrevision.com

  20. Algebraic Fractions Division S4 Credit Example 3 Example 2 4 3 www.mathsrevision.com

  21. Algebraic Fractions Division S4 Credit Example 4 1 1 1 1 1 1

  22. What Goes In The Box ? S4 Credit www.mathsrevision.com

  23. Algebraic Fractions Division S4 Credit Now try MIA Ex 4.1 Ch6 (page 122)

  24. Starter Questions S4 Credit Q1. Explain why 4 + 6 x 5 = 34 and not 50 Q2. Calculate Q3. Does x2 – 121 factorise to (x – 11) (x - 11) Q4. The cost of an iPod is £80 including VAT. How much is the iPod BEFORE VAT. Compiled by Mr. Lafferty Maths Dept.

  25. Algebraic Fractions Addition Learning Intention Success Criteria • To explain how to add algebraic fractions. • Know how to add simple fractions • 2. Apply same knowledge to add algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  26. Algebraic Fractions Addition S4 Credit Example 1a Example 1b 3d d + 4 2 + d2 8 ÷d ÷2 4d ÷d ÷2 d2 www.mathsrevision.com

  27. Algebraic Fractions Addition S4 Credit Example 2 Example 3 3(x + 1) x(x - 1) + 12 x2 + 4x (x - 1)(x + 1) 3x + 3 + x2 – x (x - 1)(x + 1) x2+ 2x + 3 (x - 1)(x + 1) www.mathsrevision.com

  28. What Goes In The Box ? S4 Credit www.mathsrevision.com

  29. Algebraic Fractions Addition S4 Credit Now try MIA Ex 5.1 & Ex 5.2 Ch6 (page 124)

  30. 1. Simplify the following fractions : Starter Questions www.mathsrevision.com

  31. Algebraic Fractions Subtraction Learning Intention Success Criteria • To explain how to subtract algebraic fractions. • Know how to subtract simple fractions • 2. Apply same knowledge to subtract algebraic fractions. www.mathsrevision.com www.mathsrevision.com

  32. Algebraic Fractions Subtraction S4 Credit Example 1a Example 1b - 15 8 3m p - 20 pm www.mathsrevision.com

  33. Algebraic Fractions Subtraction S4 Credit Example 2 Example 3 - 15 fg 3(x + 5) - x 5g x(x + 5) 3x + 15 - x x(x + 5) 2x + 15 www.mathsrevision.com x(x + 5)

  34. What Goes In The Box ? S4 Credit www.mathsrevision.com

  35. Algebraic Fractions Subtraction S4 Credit Now try MIA Ex 6.1 & Ex 6.2 Ch6 (page 127)

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