3. A mad scientist mixed 4


– 5 of a litre of acid with 5


– 8 of a


litre of liquid explosive in a container to see what would happen. What was the total volume of liquid in the container before it exploded?


4. Paul used 2


to paint the bathroom and 3


– 5 of a tin of paint to paint his hall. He used 1


What fraction of the paint did he use altogether? (Find the LCM of the 3 denominators.)


5. Now try these. a) 1 f) 1


– 3 + 1


– 4 + 1


– 6 + 9


– 6


__ 10 + 7


__ 12


b) 1 g) 1


– 5 + 1


– 6 + 1


– 8 + 1


Subtracting Fractions If there was 5


– 3


__ 12 + 1


– 6


c) 1 h) 2


– 4 + 3


– 3 + 3


– 8 + 1


– 4 + 5


– 6


– 6


d) 3 4


i)


– 4 + 2


– 5 + 2


– 9 + 5


– 3 + 5


– 6


__ 12


e) 3


– 5 + 5


– 8 + 7


__ 10


__ 10 of the tin to paint his bedroom.


– 4 of the tin


– 6 of a litre of orange in a bottle and Lisa drank 1


orange would be left in the bottle? The LCM of 6 and 4 is 12, so:


– 6 = 10


5


__ 12


10


So there is 7 __


and


__ 12 – 3


12 of the orange left in the bottle.


1. Now try these. a) 7


– 8 – 3


d) 11 __


g) 3


– 4


12 – 3


– 4 – 3


__ 10


2. Laura’s hair was 3


– 8


__ 12 = 7


__ 12


– 4 = 3


1


__ 12


– 4 of a litre, how much


b) 9 __


e) 8 h) 7


was Laura’s hair then?


10 – 2


– 9 – 5


– 8 – 5


– 6


– 6


– 3


c) 5 f) 3 i)


2


– 6 – 2


– 5 – 1


– 3 – 4


– 5m long. If the hairdresser cut 1


– 9


– 4


– 7


– 8m off, how long


60


Fractions 1


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