3. Try these. You can draw bars of chocolate to help. a) 1


– 5 + 3


– 5


b) 1


– 7 + 4


– 7


c) 2


– 9 + 5


– 9


d) 3


– 8 + 5


– 8


e) 3 __


11 + 7 __


11


f)


__ 10 + 7


3 g) Look at the answer to the last sum. Can you write the answer any other way? Common Denominators


1. a) Longport County had a great season in the league and their strikers scored a lot of goals. Sniffer Smith scored 1 goals and Deadly Doyle scored 1


– 2 of all their


– 4 of their goals. Between the 2 of


them, what fraction of the team’s goals did they score?


b) Estimate what fraction of the team’s goals were scored by the 2 of them.


– 2 + 1


1


– 4 = ?


Sniffer Smith


If we knew how many quarters were in a half, we could add the fractions. 1


_ = _ 2


2 4


_ × _ = _ 4


2


1 4


3 4


2. See if you can add these fractions of the team’s goals. From the size of the fractions, see if you can estimate what the answers will be.


a) 1


– 2 + 1


– 6


b) 1


– 4 + 1


– 8


c) 1


– 3 + 1


– 6


d) 1


– 8 + 1


– 2


To add fractions, we need them to have the same denominator. We call this a common denominator.


If Joe spent 1


– 3 of his money on a T-shirt and 1


We have to find equivalent fractions of 1 same denominator.


3: 3, 6, 9, 12 4: 4, 8, 12 LCM = 12


Now make equivalent fractions of 1


– 3 and 1


_ × _ = __ 3


– 4 with the lowest common multiple as their


denominator. Remember to multiply by a member of the family of 1. 1 4 4 4


12


_ × _ = __ 4


3 12 96 Fractions 2


Now you can add the fractions because you have the same denominator. 1 3 3


– 4 of his money on a


cap, what fraction of his money did he spend altogether? Draw the fractions to help you estimate the answer.


– 3 and 1


– 4 that have the


So what is the lowest common multiple of 3 and 4? Write out the list of multiples to help you.


__ 10


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