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Monday, July 8, 2013

Fraction



A farmer is selling some of his animals.
1.  The farmer sells ¼ of his 72 cows.  Show how to work out how many cows he sell.
I know that 16 x 4 = 64 + 8 = 72    16 + 2  = 18  so I added 4 + 4 which equals 8 so 64 + 8 = 72
18 x 4 = 72 I know the answer is 18 because 18 + 18 = 36  18 + 18 = 36
36 + 36 = 72
60 + 12 = 72


How did you know it is 18 and not 17 or 16.  What make you choose 18.  What is the knowledge behind that.



2. He sells ⅓ of his 45 pigs.  Show how to work out how many pigs he sells.
I know that  13 x 3 = 39 + 6 = 45 I know that 15 x 3 = 45 so one third of 45 will be 15. To check my answer
15 + 15 + 15 = 45
10 + 10 + 10 = 30
5 + 5 = 10 + 5 = 15             15 + 30 = 45


Same here Genevieve.  How did you know it is 15.  



3.   He sells ⅙ of his 84 sheep.  Show how to work out how many sheep he sells.
I know that 15 x 6 = 90 - 6 = 84
14 x 6 = 84 so one sixth would be 14 I know because 14 + 14 + 14 + 14 + 14 +14 =
10 + 10 + 10 + 10 +10 + 10 = 60
6 x 4 = 24                    60 + 24 = 84






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