14. Algebraic Fractions NOTES.notebook May 23, 2017

StarterRationalise the denominator:

1) 2)

3) 4)

Today's Learning:

To revise the addition, subtraction, multiplication and

division of numerical fractions.

+ - x ÷ Fractions

e.g. 1) 2)

3) 4)

Starter

Factorise fully:

1) 2x2 + 14x 2) x2 - 8x + 15

3) 2x2 - 8 4) 3x2 + 2x - 5

Today's Learning:

To simplify fractions involving algebra.

Challenge:

Simplify these fractions as much as possible:

a) b) c)

14. Algebraic Fractions NOTES.notebook May 23, 2017

Simplifying Fractions

We can cancel by dividing the top and bottom by a common

factor.

Keep going until the top and bottom have no common

factors.

e.g. 1) 2) 3)

e.g. 4) 5)

6)

Simplify the fractions by taking common factors:

1) 2) 3) 4)

Starter

Today's Learning:

To add and subtract fractions with algebra.

Challenge:

Add these fractions:

1) 2) 3)

Adding Algebraic FractionsWhen adding fractions, we always need a common

denominator.

e.g. 1) 2) 3)

14. Algebraic Fractions NOTES.notebook May 23, 2017Starter

1) 2)

3) 4)

Factorise the numerators and denominators and simplify

where possible:

Subtracting Algebraic Fractions

e.g. 1) 2)

3)

StarterSimplify the following fractions:

2m4mn - 8m2

2b2 - 8b2 - 2b - 8

1) 2)

3n - 36n - 12

3)

Practice:

1) 2) 3)

Starter

1) Find the area of the sector:14 cm

55o

2) Calculate

94.0732...

3) Write in completed square form: x2 + 6x - 10

4) Simplify

Starter1) Simplify: a) b)2

g3

4g+

32m

-1

m + 1

2) Factorise fully: 2m2 - 7m - 4

3) Simplify: √48

4) Simplify: a) b4 x b b) (e2)3 x e c) 3g7p4 ÷ g4p4

14. Algebraic Fractions NOTES.notebook May 23, 2017

Today's Learning:

To multiply and divide algebraic fractions.

Challenge:

Calculate:

x ÷ Algebraic Fractions

e.g. 1) 2) 3)