Posted by **sheila** on Sunday, November 3, 2013 at 8:36pm.

if each guest eats 2/3 of a small pizza, how may guests would eat 12 small pizzas.

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**Steve**, Sunday, November 3, 2013 at 8:42pm
12/(2/3) = 12 * 3/2 = 18

It takes 3 guests to eat 2 pizzas

So, since 12 = 6*2, it takes 6*3 = 18 guests

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**sheila**, Sunday, November 3, 2013 at 8:49pm
Why did you reverse fraction to multiply?

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**Steve**, Sunday, November 3, 2013 at 11:43pm
that is the way you divide by fractions.

you know that 2/4 is the same as 1/2, since there are two 4ths in a half.

(1/2) / (1/4) = 1/2 * 4/1 = 4/2 = 2

dividing by a number is the same as multiplying by its reciprocal, just as subtracting a number is the same as adding its negative.

multiplication and division are inverse operations, as are addition and subtraction.

dividing by 10 is the same as multiplying by 1/10.

dividing by 1/3 is the same as multiplying by 3, since each "one" has three "1/3"s in it, so there are three times as many thirds as there are wholes.

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