1. Algebraic Fractions Equivalent and Simplifying Fractions
Multiplying Fractions
Dividing Fractions
Adding Fractions
Subtracting Fractions

2. Compiled by Mr. Lafferty Maths Dept.
S3 Starter Questions S3
Credit
11-Apr-18
Compiled by Mr. Lafferty Maths Dept.

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

4. Equivalent Fractions Multiply top and bottom by any number or letter
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

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

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

7. Algebraic Fractions Examples 1 1 1 1 3 1 3 1 6 1 1 1 1 1 1 1 1 1

8. Algebraic Fractions
Examples 1 1 1 1 1 1

9. What Goes In The Box ?
S4 Credit

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

11. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
11-Apr-18
Compiled by Mr. Lafferty Maths Dept.

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

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

14. Algebraic Fractions Multiplication Example 2 Example 3 1 1 1 1
S4 Credit
Example 2
Example 3 1 1 1 1

15. What Goes In The Box ?
S4 Credit

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

17. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
11-Apr-18
Compiled by Mr. Lafferty Maths Dept.

18. Algebraic Fractions www.mathsrevision.com 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.

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

20. Algebraic Fractions Division Example 2 Example 3 4 3 S4 Credit

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

22. What Goes In The Box ?
S4 Credit

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

24. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
S4 Credit
Q1. Explain why 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.
11-Apr-18
Compiled by Mr. Lafferty Maths Dept.

25. Algebraic Fractions www.mathsrevision.com 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.

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

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

28. What Goes In The Box ?
S4 Credit

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

30. Starter Questions 1. Simplify the following fractions :

31. Algebraic Fractions www.mathsrevision.com 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.

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

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

34. What Goes In The Box ?
S4 Credit

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