Question

Yasmine is having a birthday party with snacks and activities for her guests. At one table, five people are sharing three-quarters of a pizza. What equal-sized portion of the whole pizza will each of the five people receive?

a. Use a model (e.g., picture, number line, or manipulative materials) to represent the quotient.
b. Write a number sentence to represent the situation. Explain your reasoning.
c. If three-quarters of the pizza provided 12 pieces to the table, how many pieces were in the pizza when it was full? Support your answer with models.

Answer 1

a) photo

b)

`(1)/(5) * (3)/(4) = (3)/(20)`

each person will get 1/5 of the amount of pizza in the table.

the pizza in the table is 3/4 of the whole pizza.

then each person will get 1/5 of 3/4 of the whole pizza.

c)

if 3/4 of the pizza equals 12 slices, then 4/4 of the pizza (the whole pizza) will have 12 . 1 : 3/4 =16 slices

`12 * (4)/(4) / (3)/(4) = 12 * 1 * (4)/(3) = (48)/(3) = 16`

(Photo)