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# Multiplying and Dividing with Algebraic Fractions

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## Mr Mattock

on 4 March 2017

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#### Transcript of Multiplying and Dividing with Algebraic Fractions

Multiplying and Dividing with Algebraic Fractions
Starter
Calculate the following, giving your answer as an improper fraction where required:

(a) 4 x (b) x (c) x (d) ÷ (e) ÷

Dhav says "3 x = ." Explain how you can show Dhav is wrong without giving the correct calculation.
Activity
Examples
L.O. - Apply understanding of fraction calculations to algebraic fractions.
3 1 3 15 3 1 3 15 3
5 4 5 4 5 4 5 4 5
5 15
7 21
Starter
Calculate the following, giving your answer as an improper fraction in simplest form where required:

(a) 4 x (b) x (c) x (d) ÷ (e) ÷

Dhav says "3 x = ." Explain how you can show Dhav is wrong without giving the correct calculation.
simplifies to , and you can't make something 3 times bigger and have it stay the same.
3 1 3 15 3 1 3 15 3
5 4 5 4 5 4 5 4 5
5 15
7 21
12 3 9 5 75
5 20 4 12 12
15
21
5
7
Examples
(x-1) (x+1)
(x-1)(x+1)
=

(x - 1)(x + 1)
2
2
3x y(2x - y) 3x
xy (2x - y) y
2
2
=
15abc 21a b c 15 21b 3b
7a bc 15a bc 7a c 15a a c
3
2
2
2
2
2
3
x = x =
2
3
20x 15(x - 1)
3(x - 1) 4x
x = 25x
Examples
Examples
(x+4)(x-4) x(x+3) x + 4 x + 3 x + 4
(x+3)(x-4) x x + 3 x x
2
x = x =
(x+2)(x-2) x+1 x-2 x+1 x-2
(x+2)(x+1) x x+1 x x
x = x =
1 (x+1)(x-1) x - 1
(x+2)(x+1) 1 x + 2
x =
Activity