Warm Up Problem What is the area of a picture frame whose length is 11 2 3 inches and width is 7 1 4 inches? A) 84 7 12 square inches C) 82 1 2 square inches B) 83 5 6 square inches D) 77 1 6 square inches

Divide Whole Numbers by Fractions Lesson 4-6

Objectives I can define and find the reciprocal of a number. I can divide a whole number by a fraction.

Vocabulary Reciprocal – any two numbers with the product of 1 Example: So, the reciprocal of 2 3 is 3 2 . In other words “FLIP FLOP” the fraction!

It’s okay if the final answer is an improper fraction. Example 1 Find the reciprocal of 2 3 Since 2 3 x 3 2 = , the reciprocal is 3 2 . It’s okay if the final answer is an improper fraction.

Example 2 Find the reciprocal of 1 8 . Flip flop: 8 1 or 8

Example 3 Find the reciprocal of 5. 5 x 1 5 = 1 So the reciprocal of 5 is 1 5 .

Got It? Find the reciprocal of each number. 1) 3 4 2) 1 3 3) 11

Example 4 Find 2 ÷ 1 3 . Multiply by the reciprocal (aka Flip Flop Multiplop) 2 1 x 3 1 = 6 1 or 6 Model it: 1 3

Example 5

Got It? 4) 6 ÷ 1 3 5) 5 ÷ 2 3 6) 4 ÷ 3 4

Example 6 At summer camp, the duration of a field hockey game is 3 4 hour. The camp counselors have set aside 6 hours for field hockey games. How many games can by played? 6 ÷ 3 4 = 6 1 x 4 3 6 2 1 x 4 3 1 = 8 1 or 8 games

Got It? A neighborhood development that is 4 acres is to be divided into 2 3 -acre lots. How many lots can be created?