if each guest eats 2/3 of a small pizza, how may guests would eat 12 small pizzas.
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
Why did you reverse fraction to multiply?
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.
To find the number of guests who would eat 12 small pizzas, you need to divide the total number of small pizzas by the fraction representing how much each guest eats.
First, identify the fraction of a small pizza that each guest eats, which is 2/3.
Then, calculate how many small pizzas one guest would eat by taking the reciprocal of the fraction: 1 divided by (2/3) = 1 * (3/2) = 3/2.
Next, find the number of guests who would eat 12 small pizzas by dividing the total number of small pizzas (12) by the fraction representing how much each guest eats: 12 / (3/2) = 12 * (2/3) = 8.
Therefore, 8 guests would eat 12 small pizzas.