Puzzler


At a birthday party, one-half drank only orange juice, one-third drank only apple juice, 9 people drank neither and nobody drank both. How many people were at the party?


12


2. Put these mixed numbers onto the number line. 11


– 2, 15


– 8, 13


– 4, 11


– 8, 11


– 4, 17


– 8, 13


– 8


John had a party and he gave a half of a pizza to each of his guests to eat. If he needed 31


– 2 pizzas to feed everyone, how many people were at the party?


Divide the pizzas in half and count the halves. 31


– 4 of a pizza each. If he needed 23


people were at his party? Draw the pizzas to help you. Remember: 4


– 2 = 7


– 2


Raymond had a party the following week, but he wasn’t as generous and gave his guests only 1


– 4 pizzas to feed everyone, how many


– 4 makes 1 full pizza.


23


– 4 = –


4


Change Mixed Numbers into Improper Fractions Can you detect a quicker way of doing problems like these? Talk about it in pairs.


1. Now try these the quicker way. a) 11 e) 21 i) 25


– 5 = –


5


– 3 = –


3


– 8 = –


8 108 Fractions 3


b) 12 f) 31 j) 51


– 3 = –


3


– 6 = –


6


– 4 = –


4


c) 21 g) 23 k) 71


– 2 = –


2


– 5 = –


5


– 2 = –


2


d) 13 h) 15 l) 42


– 4 = –


4


– 9 = –


9


– 7 = –


7


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