Fractions Equivalent and Simplifying Fractions Multiplying Fractions Dividing

Fractions Equivalent and Simplifying Fractions Multiplying Fractions Dividing Fractions Adding Fractions Subtracting Fractions

Starter Questions

Algebraic Fractions Learning Intention 1. To explain how to simplify algebraic fractions. Success Criteria 1. Understand term Highest Common Factor. 2. Simplify algebraic fractions by identifying HCF.

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

Equivalent Fractions Common Denominator for 2 fractions Numerical Fraction Algebraic Fraction

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 = 3 HCF = Y

What Goes In The Box ?

Algebraic Fractions Multiplication Learning Intention 1. To explain how to multiply algebraic fractions. Success Criteria 1. Know rules for multiplication simple fractions. 2. Apply knowledge to algebraic fractions.

Algebraic Fractions Multiplication Numerical fraction 3 10 Algebraic Fraction 5 2 1 1

Algebraic Fractions Division Learning Intention 1. To explain how to divide algebraic fractions. Success Criteria 1. Know rules for division of simple fractions. 2. Apply knowledge to algebraic fractions.

Algebraic Fractions Division Numerical Fraction 8 15 Algebraic Fraction 1 1

Algebraic Fractions Division Example 2 Example 3 4 3

Algebraic Fractions Division Example 4 1 1 1

Algebraic Fractions Addition Example 1 a 4 +2 Example 1 b 3 d +d d 2 8 ÷ 2 4 d ÷d ÷ 2 d 2 ÷d

Algebraic Fractions Addition Example 2 12 + x 2 Example 3 3(x + 1) + x(x - 1)(x + 1) 4 x 3 x + 3 + x 2 – x (x - 1)(x + 1) x 2 + 2 x + 3 (x - 1)(x + 1)

Algebraic Fractions Subtraction Learning Intention 1. To explain how to subtract algebraic fractions. Success Criteria 1. Know how to subtract simple fractions 2. Apply same knowledge to subtract algebraic fractions.

Algebraic Fractions Subtraction Example 1 a 15 -8 20 Example 1 b 3 m - p pm

Algebraic Fractions Subtraction Example 2 15 - fg 5 g Example 3 3(x + 5) - x x(x + 5) 3 x + 15 x(x + 5) 2 x + 15 x(x + 5) - x