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

Answer:

a) photo

b)

$\frac{1}{5} \times \frac{3}{4} = \frac{3}{20}$

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

$12 \times \frac{4}{4} \div \frac{3}{4} = 12 \times 1 \times \frac{4}{3} = \frac{48}{3} = 16$

(Photo)