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# Adding and Subtracting Algebraic Fractions

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by

## Mr Mattock

on 27 February 2018

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#### Transcript of Adding and Subtracting Algebraic Fractions

Algebraic Fractions

Starter
Calculate the following:

1 1 1 2 3 1 3 3 3 4
4 3 4 3 4 6 4 5 4 5

Marco says " + = + = ". Explain how you could
Activity
Examples
L.O. - To combine fractions through addition and subtraction.
1 1 2 3 5
6 4 12 12 24
show Marco he is wrong, without giving the correct answer.
a) + b) + c) + d) - e) -
Starter
Calculate the following:

1 1 1 2 3 1 3 3 3 4
4 3 4 3 4 5 4 5 4 5

Marco says " + = + = ". Explain how you could
1 1 2 3 5
6 4 12 12 24
show Marco he is wrong, without giving the correct answer.
a) + b) + c) - d) - e) -
7
12
11
12
11
20
3
20
1
20
-
is greater than , and you can't add a positive number to and
get smaller.
1
4
5
24
1
4
Examples
x 1
x + 1
x x

x
+
=
2
2

3x

x(x - 5)

3x + x - 5x

x - 2x
x - 5

x - 5

x - 5

x - 5
2
2
+
= =
3 -2
1
x - y x - y

x - y
+
=
Activity
Examples
Examples
x(x + 1) x - 1
x + x - x + 1

x + 1
(1-x)(1+x) 1 - x

1 - x

1 - x

2
2
2
2
2
-
= =

(x+1)(x-1)

x(x-2)

x - 1 - x + 2x
(x+2)(x-2)(x-1)

(x+2)(x-1)(x-2)

(x+2)(x-1)(x-2)

2x-1
(x+2)(x-2)(x-1)
-
= =
2
2
2x x+1 x-1

2x+2

2(x+1)

2
x -1 x -1 x -1

x - 1

(x-1)(x+1)

x - 1
+

-
= = =

1

3

x+3 - 3(x+1)

-2x
(x+1)(x+2) (x+2)(x+3)

(x+1)(x+2)(x+3)

(x+1)(x+2)(x+3)
+
= =