SOLUTION: 5 people share 2 pizzas equally. 8 people share 3 pizzas equally. 12 people share 5 pizzas equally. Is this an equal amount of pizza for all people? Explain using words, numbers,

Question 834459: 5 people share 2 pizzas equally. 8 people share 3 pizzas equally. 12 people share 5 pizzas equally. Is this an equal amount of pizza for all people? Explain using words, numbers, or diagrams.
Found 2 solutions by stanbon, JulietG:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5 people share 2 pizzas equally.
Each person gets 2/5 of a pizza.
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8 people share 3 pizzas equally.
Each person gets 3/8 of a pizza.
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12 people share 5 pizzas equally.
Each person gets 5/12 of a pizza.
Is this an equal amount of pizza for all people?
Ans: No; The fractions are not equal.
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Explain using words, numbers, or diagrams.
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Cheers,
Stan H.
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Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Is 5/2 equal to 8/3 or 12/5?
First, find a common denominator
2*3*5 = 30. We'll just use that for ease. It can always be reduced later.
5/2 = how many 30ths? Multiply by 15/15
5/2 = 75/30
8/3 = how many 30ths? Multiply by 10/10 (it's multiplying by 1)
8/3 = 80/30
12/5 = 72/30
So...
what you have is
75/30, 80/30, and 72/30
They're not equal.
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