Unit 2. Day 11.

Please get out paper for today’s lesson Name Date Period -------------------------------------------------------- Topic: Multiplying Rational Numbers 7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers

Multiplying Fractions “Of” and word problems Today’s Lesson Multiplying Fractions “Of” and word problems

Example 6th Grade 6 7 ∙ 3 4 6∙3 18 2∙3∙3 9 14 = = = = 7∙4 28 2∙2∙7 18 28 2 9 4 7 3 3 2 2 6 7 ∙ 3 4 2∙3 3 9 14 = ∙ = 2∙2 7

Example A: Multiply. Write in simplest form. 6 7 ∙− 3 4 6∙3 18 2∙3∙3 9 14 = = = = − 7∙4 28 2∙2∙7 18 28 2 9 4 7 3 3 2 2 6 7 ∙− 3 4 2∙3 7 3 2∙2 9 14 = ∙ = −

− 7 8 ∙ 4 21 − 6 5 ∙− 15 16 Multiply. Write in simplest form. Example B*: − 6 5 ∙− 15 16 Example C*:

Example B*: Multiply. Write in simplest form. − 7 8 ∙ 4 21 7∙4 28 2∙2∙7 1 6 = = = = − 8∙21 2∙2∙2∙3∙7 168 168 28 21 8 4 7 3 7 4 2 2 2 2 2 − 7 8 ∙ 4 21 7 2∙2 1 6 ∙ − = = 2∙2∙2 3∙7

Example C*: Multiply. Write in simplest form. − 6 5 ∙− 15 16 6∙15 90 2∙3∙3∙5 9 8 = = = = + 5∙16 2∙2∙2∙2∙5 80 80 90 4 20 9 10 2 2 4 5 3 3 2 5 2 2 − 6 5 ∙− 15 16 2∙3 5 3∙5 2∙2∙2∙2 9 8 1 1 8 ∙ = = + 𝑜𝑟

Multiply. Write in simplest form. 1 1 5 ∙2 1 3 Example D*: −2 5 8 ∙3 3 7 Example E*:

Example D*: Multiply. Write in simplest form. 1 1 5 ∙2 1 3 1 1 5 2 1 3 6 5 7 3 6∙7 42 2∙3∙7 14 5 = = = = ∙ = 5∙3 15 3∙5 𝑜𝑟 2 4 5 15 42 3 5 6 7 2 3 2∙3 5 6 5 ∙ 7 3 7 3 14 5 2 4 5 ∙ = = 𝑜𝑟

Example E*: Multiply. Write in simplest form. −2 5 8 ∙3 3 7 2 5 8 3 3 7 21 8 24 7 21∙24 504 = ∙ = = 8∙7 56 2∙2∙2∙3∙3 ∙7 = 2∙2∙2∙7 504 56 8 9 1 21 24 7 − = 𝑜𝑟 −9 4 2 3 7 4 6 2 2 2 2 2 3 3∙7 2∙2∙2 21 8 ∙ 24 7 2∙2∙2∙3 7 9 1 ∙ = = −

Multiplying Fractions “Of” and word problems Today’s Lesson Multiplying Fractions “Of” and word problems

“of” Word problems when multiplying fractions Half of $60  $30 1 2 60 1 Half of $60 ∙  $30 60 2 = = 30

“of” Word problems when multiplying fractions 5 8 𝑟𝑒𝑚𝑎𝑖𝑛𝑖𝑛𝑔. 𝑊𝑒 𝑒𝑎𝑡 ℎ𝑎𝑙𝑓 𝑜𝑓 𝑡ℎ𝑎𝑡. 5 8 1 2 ∙ 5 16 =

5 6 Example F: When Mr. Jordan woke up, he had 5 6 of his battery left. During the day, he was using his calculator to do fun math problems. He used 3 8 of his remaining battery life. What fraction of total battery power did he use? 3 8 ∙ 15 48 3∙5 2∙2∙2∙2∙3 5 16 = = =

1 2 Example G*: Mr. Jordan’s grandma dies and leaves half of a piece of land to Mr. Jordan’s mother, Julie. When Julie dies, she gives one-fourth of her inheritance to Mr. Jordan. What fraction of the land does Mr. Jordan inherit? 1 4 ∙ 1 8 1 2∙2∙2 1 8 = = =