Multiplying a Fraction by a fraction Let’s Be Rational- CMP3 Brownie Pan Models Multiplying a Fraction by a fraction Let’s Be Rational- CMP3

Brownie Pan Model – Example 1 Amici Bakery has 1 3 of a brownie pan left. They sell 3 4 of the pan to Mrs. Chanley. How much of the brownie pan did Mrs. Chanley buy? Think: Mrs. Chanley buys what part of the pan of brownies that remains? 3 4 𝑜𝑓 1 3

Brownie Pan Model – Example 1 3 4 × 1 3 = 3 12 What is three-quarters of the one-third? In other words… How many boxes out of the total boxes have overlapping colors?

Brownie Pan Model – Example 1 Make sure to reduce your final answer. 3 4 × 1 3 = 3 12 = 1 4 Mrs. Chanley purchased 1 4 of the whole brownie pan.

Brownie Pan Model – Example 2 Mr. Higgins owns 𝟑 𝟒 of an acre of land. He wants to sell 𝟒 𝟓 of the land to his friend. How much of the acre did Mr. Higgins sell? Think: Mr. Higgins sells what part of the acre that he owns? 4 5 𝑜𝑓 3 4 =

Brownie Pan Model – Example 2 𝟒 𝟓 × 𝟑 𝟒 = 𝟏𝟐 𝟐𝟎 What is four-fifths of the three-quarters? In other words… How many boxes out of the total boxes have overlapping colors?

Make sure to reduce your final answer. Brownie Pan Model – Example 2 Make sure to reduce your final answer. 4 5 × 3 4 = 12 20 = 3 5 Mr. Higgins sold 3 5 of an acre of land.

How much of the pan of lasagna does Mr. Sidler take home? Brownie Pan Model – Example 3 Mr. Sidler takes home 𝟏 𝟐 of a pan of lasagna that is 𝟑 𝟕 full from his aunt’s house. How much of the pan of lasagna does Mr. Sidler take home? Think: Mr. Sidler takes home what part of the lasagna that remains? 1 2 𝑜𝑓 3 7 =

Brownie Pan Model – Example 3 𝟏 𝟐 × 𝟑 𝟕 = 𝟑 𝟏𝟒 What is one-half of the three-sevenths? In other words… How many boxes out of the total boxes have overlapping colors?

Make sure to reduce your final answer. Brownie Pan Model – Example 3 Make sure to reduce your final answer. 1 2 × 3 7 = 3 14 Mr. Sidler brought home 3 14 of the whole pan of lasagna.