Dividing Fractions Module 2

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Presentation transcript:

Dividing Fractions Module 2

https://youtu.be/uyViMaD9wvw - dividing with whole numbers https://youtu.be/e1gcBP2TmPk - why flip https://youtu.be/4lkq3DgvmJo - dividing fractions

How did they solve these examples? What property are they using? Study these examples: 8 + 12 = 4(2) + 4(3) = 4(2 + 3) = 20 15 + 25 = 5(3) + 5(5) = 5(3 + 5) = 40 36 - 24 = 6(6) - 6(4) = 6(6 - 4) = 12 How did they solve these examples? What property are they using?

Can you solve the following using the same method? 12 + 18 = 42 + 14 = 36 - 27 =

Write a division sentence to solve each problem: 8 gallons of water are poured equally into 4 bowls. How many gallons of batter are in each bowl? 2. 1 gallon of batter is poured equally into 4 bowls. How many gallons of batter are in each bowl?

Write a division sentence to solve each problem: ¾ gallon of batter is poured equally into 2 bowls. How many gallons of batter are in each? A rope of length ⅖ m is cut into 4 equal cords. What is the length of each cord? ⅗ pt. of juice is poured equally into 6 glasses. How much juice is in each glass?

¼ ÷ 5

¾ ÷ 5 = ¾ ÷ 5 ¾ ÷ 5 1 ¾ x ⅕ = 3 20

⅕ ÷ 4 ⅕ ÷ 4 ⅕ ÷ 4 1 ⅕ x ¼ 1 20 Reciprocal - flip the fraction, the product of the two equals one Ex. ⅔ x 3/2 = 6/6 = 1 Mixed numbers - change to improper fraction before flipping, ex. 3 ⅔ = 11/3 x 3/11 = 33/33 = 1

⅓ ÷ 4 ½ ÷ 3 ⅘ ÷ 6

Solve: ⅓ ÷ 2 ⅖ ÷ 3 6/7 ÷ 3 4. ⅖ ÷ 4 5. ⅚ ÷ 5 6. 16/8 ÷ 5 7. 4 loads of stone weigh ⅔ ton. Find the weight of 1 load of stone. 8. What is the width of a rectangle with an area of ⅝ in² and a length of 10 inches? 9. ¾ pan of lasagna is shared equally by 6 friends. What fractions of the pan will each friend get?

Use the distributive property to factor out the GCF. 21 + 35 32 - 24 16 + 36 77 - 22

Write a division sentence to solve each problem: How many ½ miles are in 12 miles? How many quarter hours are in 5 hours? How many ⅓ cups are in 9 cups? How many ⅛ pizzas are in 4 pizzas?

3 ÷ ½ 1 2 3 4 5 6 3 x 2 = 1 6 = 6 1 3 ÷ ½ =

4 ÷ ¾ 1 2 3 4 5 4 ÷ ¾ = 4 x 4 1 3 = 16 3 = 5 ⅓

5 ÷ ⅔ 1 2 3 4 5 6 7 5 ÷ ⅔ = 15 = 7 ½ 2 5 x 3 = 2

Solve: 5 ÷ ¼ 4 ÷ ⅔ 6 ÷ ⅖ 4. 8 ÷ ⅗ 5. 12 ÷ ⅝ 6. 20 ÷ ⅚ 7. A construction company is setting up signs on 2 miles of a road. If the company places a sign at every ¼ mile, how many signs will it use?

8. George bought 4 submarines sandwiches for a birthday party 8. George bought 4 submarines sandwiches for a birthday party. If each person will eat ⅔ of a sandwich, how many people can George feed? 9. Miranda buys 6 pounds of nuts. If she puts ¾ pound in each bag, how many bags can she make? 10. Margo freezes 8 cups of strawberries. If this is ⅔ of the total strawberries that she picked, how many cups of strawberries did Margo pick?

Use the distributive property to factor out the GCF. 16 + 8 48 - 36 What is the LCM of 6, 8, 15

Lesson 3

1 minute - Stand quietly when done Challenge ⅙ ÷ 6 ÷ 6 = 1 minute - Stand quietly when done

8/9 ÷ 2/9 = 9/12 ÷ 3/12 = 7/9 ÷ 3/9 = ⅘ ÷ ⅖ =

DO IT in a 30 seconds !! Prime factorization Of 160

Problem Set ⅘ ÷ ⅕ 8/9 ÷ 4/9 15/4 ÷ ¾ 13/5 ÷ ⅘ 10/3 ÷ ⅔ 8/5 ÷ ⅗ 7. A runner is ⅞ mile from the finish line. If she can travel ⅜ mile per minute, how long will it take her to finish the race? 8. An electrician has 4 meters of wire. How many strips of 7/10 m long can he cut? How much wire will he have left over?

Lesson 4

Use the distributive property to factor out the GCF. 18 + 12 24 - 20 What is the LCM of 7, 18, 21

Problem Set: ¾ ÷ ⅔ 6/2 ÷ ¾ ⅔ ÷ ⅖ ⅞ ÷ ½ ⅗ ÷ ¼ 5/4 ÷ ⅓ 7. Bonnie Baker has a total of ½ pound of chocolate. She needs ⅛ pound of chocolate for each batch of brownies she bakes. How many batches of brownies can Bonnie bake with ½ pound of chocolate? 8. Tia has ¾ ounce of coffee grounds left in her coffee can. She needs ½ ounce to make one cup of coffee. How many cups of coffee can she make?

1 minute - Stand quietly when done Challenge 7/12 ÷ 14 ÷ 6 = 1 minute - Stand quietly when done

Molly has 1 ⅜ cups of strawberries Molly has 1 ⅜ cups of strawberries. She needs ⅜ cup of strawberries to make one batch of muffins. How many batches can Molly make? Write a division expression: 1 ⅜ ÷ ⅜ = Next step

A recipe calls for 1 ½ cups of sugar A recipe calls for 1 ½ cups of sugar. Marley only has measuring cups that measure ¼ cup. How many times will Marley have to fill the measuring cup?

DO IT in a 30 seconds !! Prime factorization Of 36

1 3/7 ÷ ⅔ = 4/9 ÷ 1 7/15 = 8 ¼ ÷ 1 ½ =

Problem Set: 2 ⅙ ÷ ¾ = 6 ⅘ ÷ 2 ⅛ = 2 ¼ ÷ ¾ = 7 ½ ÷ 1 9/10 = 2 ¼ ÷ ¾ = 7 ½ ÷ 1 9/10 = 3 ¾ ÷ 2 1/12 = 6. A bag contains 42 cups of dog food. Your dog eats 2 ⅓ cups of dog food each day. How many days does the bag of dog food last? 7. How many 1 ⅗ inch thick books can fit on a 14 ½ inch long bookshelf?

The science club wants to divide the boys and girls into the greatest number of teams possible. Each team will have the same number of boys and the same number of girls. There are 108 boys and 84 girls. How many boys and girls will be on each team?