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Comprehensive 6th Grade Math: Division of Fractions, Whole and Mixed Numbers

Detailed lessons and exercises on solving multi-step division problems involving fractions, whole numbers, and mixed numbers for 6th grade students.

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MATHEMATICS 6 TERM 1 WEEK 9 DAY 1
Directions: Solve the mixed problems. Pay close attention to what kind of numbers you are dividing! @ @ P R E - L E S S O N
1) 2) 3) @ @ P R E - L E S S O N
4) 5) 6) @ @ P R E - L E S S O N
7) 8) 9) @ @ P R E - L E S S O N
10) @ @ P R E - L E S S O N
SOLVE MULTI-STEP PROBLEMS INVOLVING DIVISION OF FRACTIONS, WHOLE NUMBERS, AND MIXED NUMBERS
@ @ D I S C U S S I O N Example 1 Ana baked 3 cakes. Each cake used 1/2 kilogram of flour. She divided the total flour equally into 3 containers. How many kilograms of flour were in each container?
@ @ D I S C U S S I O N A – Asked How many kilograms of flour were in each container? G – Given 3 cakes 1/2 kilogram flour each cake 3 containers
@ @ D I S C U S S I O N O – Operation Multiplication and Division N – Number Sentence S – Solution A – Answer Each container had 1/2 kilogram of flour.
@ @ D I S C U S S I O N Example 2 Ben had 5 liters of juice. He poured 1/2 liter into each bottle and then shared the filled bottles equally among 5 friends. How many bottles did each friend receive?
@ @ D I S C U S S I O N A – Asked How many bottles did each friend receive? G – Given 5 liters juice 1/2 liter per bottle 5 friends
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each friend received 2 bottles.
@ @ A S S E S S M E N T Directions: Solve each multi-step problem using AGONSA. 1. Kathryn baked 3/4 cake and divided it equally among 3 friends. How much cake did each friend receive?
@ @ A S S E S S M E N T 2. Daniel poured 4 liters of juice into containers that hold 1/2 liter each. How many containers were filled?
@ @ A S S E S S M E N T 3. Alden shared 5/6 kilogram of chocolates equally among 2/3 of his classmates. How many kilograms did each classmate receive?
@ @ A S S E S S M E N T 4. Maine divided 2 1/2 pizzas among 5 children equally. How much pizza did each child get? 5. Tom used 3/4 meter of ribbon for bows that are 1/8 meter long each. How many bows were made?
3 4 1 8 6 8 1 4 @ @ E X T E N D E D Directions: Write TRUE if the statement is correct and FALSE if it is wrong. 1. Joshua solved 2 1/2 ÷ 5 = 1/2. ________
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 2. Julia solved 3/4 ÷ 2 = 3/8. ________ 3. Enrique solved 4 1/2 ÷ 3 = 1 1/2. ________
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 4. Janella solved 5/6 ÷ 5 = 1/6. ________ 5. John solved 6 ÷ 1/2 = 12. ________
MATHEMATICS 6 TERM 1 WEEK 9 DAY 2
Directions: Choose the correct answer. 1. Anne shared 3/4 pie among 3 friends. How much did each friend get? A. 1/2 C. 3/7 B. 1/4 D. 2/3 @ @ P R E - L E S S O N
2. Piolo divided 4 liters of juice into containers holding 1/2 liter each. How many containers were filled? A. 6 C. 4 B. 8 D. 2 @ @ P R E - L E S S O N
3. Nadine divided 5/6 liter of milk by 1/3 liter. What is the quotient? A. 5/18 C. 1/2 B. 2 ½ D. 5/3 @ @ P R E - L E S S O N
4. Jericho divided 2 2/5 kilograms of rice among 6 families. A. 2/15 C. 12/5 B. 2/5 D. 14/5 @ @ P R E - L E S S O N
5. Liza divided 3/4 liter of juice by 1 1/2 liters. A. 1/2 C. 3/2 B. 2 D. 1/4 @ @ P R E - L E S S O N
SOLVE MULTI-STEP PROBLEMS INVOLVING DIVISION OF FRACTIONS, WHOLE NUMBERS, AND MIXED NUMBERS
@ @ D I S C U S S I O N Example 1 Ana baked 3 cakes. Each cake used 1/2 kilogram of flour. She divided the total flour equally into 3 containers. How many kilograms of flour were in each container?
@ @ D I S C U S S I O N A – Asked How many kilograms of flour were in each container? G – Given 3 cakes 1/2 kilogram flour each cake 3 containers
@ @ D I S C U S S I O N O – Operation Multiplication and Division N – Number Sentence S – Solution A – Answer Each container had 1/2 kilogram of flour.
@ @ D I S C U S S I O N Example 2 Ben had 5 liters of juice. He poured 1/2 liter into each bottle and then shared the filled bottles equally among 5 friends. How many bottles did each friend receive?
@ @ D I S C U S S I O N A – Asked How many bottles did each friend receive? G – Given 5 liters juice 1/2 liter per bottle 5 friends
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each friend received 2 bottles.
@ @ A S S E S S M E N T Directions: Match Column A with Column B. Column A Column B 1. Carlo shared 4/5 pizza among 2 friends. A. 1 ½ 2. Sarah divided 3 liters into 2 bottles. B. 2
@ @ A S S E S S M E N T Column A Column B 3. Xian divided 6/8 by 3/4. C. 2/5 4. Julia shared 2 ½ cakes among 5 children. D. 1/2 5. Barbie divided 3/4 by 1 ½. E. 1/4
3 4 1 8 6 8 1 4 @ @ E X T E N D E D Directions: Use AGONSA to solve the following problems. 1. Kim divided 5/8 liter of juice equally among 5 children. How much juice did each child receive?
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 2. Coco packed 6 kilograms of rice into bags weighing 3/4 kilogram each. How many bags were filled?
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 3. Bea shared 4/5 meter of cloth among 2/5 of her cousins equally. How much cloth did each cousin get?
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 4. Dingdong divided 3 1/3 liters of soup among 4 bowls equally. How many liters were in each bowl?
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 5. Marian cut 2/3 meter of ribbon into pieces measuring 1/6 meter each. How many pieces were made?
MATHEMATICS 6 TERM 1 WEEK 9 DAY 3
Directions: Write the type of division used. 1. Jong shared 3/5 cake among 5 friends. ____________________ 2. Anne divided 2/3 by 1/6. ____________________ @ @ P R E - L E S S O N
3. Piolo divided 4 1/2 liters among 3 bottles. _______________ 4. Marian divided 3/4 by 1 1/2. _________________ 5. Coco divided 5 by 1/2. _________________ @ @ P R E - L E S S O N
SOLVE MULTI-STEP PROBLEMS INVOLVING DIVISION OF FRACTIONS, WHOLE NUMBERS, AND MIXED NUMBERS
@ @ D I S C U S S I O N Example 1 Rose had 4 1/2 liters of juice. She poured 3/4 liter into each pitcher and shared the pitchers equally among 3 tables. How many pitchers were placed on each table?
@ @ D I S C U S S I O N A – Asked How many pitchers were placed on each table? G – Given 4 1/2 liters juice 3/4 liter per pitcher 3 tables
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each table received 2 pitchers.
@ @ D I S C U S S I O N Example 2 A baker made 3 1/2 kilograms of dough. He used 1/2 kilogram for each loaf and sold the loaves equally to 7 customers. How many loaves did each customer receive?
@ @ D I S C U S S I O N A – Asked How many loaves did each customer receive? G – Given 3 1/2 kilograms dough 1/2 kilogram per loaf 7 customers
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each customer received 1 loaf.
@ @ A S S E S S M E N T Directions: Solve each problem and write the answer. 1. Anne shared 7/8 pie among 7 children equally. Each child received ________ pie.
@ @ A S S E S S M E N T 2. Piolo poured 5 liters of water into bottles holding 1/2 liter each. He filled ________ bottles. 3. Nadine divided 3/4 kilogram of candies by 1/8 kilogram per bag. She filled ________ bags.
@ @ A S S E S S M E N T 4. Jericho shared 2 1/4 cakes among 3 children equally. Each child received ________ cake. 5. Liza divided 5/6 meter of cloth among 1/3 of her classmates equally. Each classmate received ________ meter.
3 4 1 8 6 8 1 4 @ @ E X T E N D E D Directions: Write the correct number sentence and solve. 1. Sarah shared 2 1/2 cakes among 5 friends. 2. Carlo divided 3/5 liter of juice into 3 cups.
3 4 1 8 6 8 1 4 @ @ E X T E N D E D 3. Julia divided 6/8 by 3/4. 4. Ruru divided 5/6 chocolate by 1 2/3. 5. Francine shared 7 1/5 kilograms of rice among 9 families.
MATHEMATICS 6 TERM 1 WEEK 9 DAY 4
Directions: Use AGONSA in solving the following problems. 1. Kathryn bought 5 1/2 kilograms of rice and packed them equally into 11 bags. How many kilograms were in each bag? @ @ P R E - L E S S O N
2. Alden used 3/4 liter of paint for 3 chairs equally. How much paint was used for each chair? 3. Maine divided 2/3 cake by 1/6 cake. How many parts were made? @ @ P R E - L E S S O N
4. Daniel shared 7 1/2 meters of ribbon among 5 students equally. How much ribbon did each student receive? 5. Kim divided 4/5 liter of juice by 1 3/5 liters. What is the quotient? @ @ P R E - L E S S O N
SOLVE MULTI-STEP PROBLEMS INVOLVING DIVISION OF FRACTIONS, WHOLE NUMBERS, AND MIXED NUMBERS
@ @ D I S C U S S I O N Example 1 Rose had 4 1/2 liters of juice. She poured 3/4 liter into each pitcher and shared the pitchers equally among 3 tables. How many pitchers were placed on each table?
@ @ D I S C U S S I O N A – Asked How many pitchers were placed on each table? G – Given 4 1/2 liters juice 3/4 liter per pitcher 3 tables
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each table received 2 pitchers.
@ @ D I S C U S S I O N Example 2 A baker made 3 1/2 kilograms of dough. He used 1/2 kilogram for each loaf and sold the loaves equally to 7 customers. How many loaves did each customer receive?
@ @ D I S C U S S I O N A – Asked How many loaves did each customer receive? G – Given 3 1/2 kilograms dough 1/2 kilogram per loaf 7 customers
@ @ D I S C U S S I O N O – Operation Division and Division N – Number Sentence
@ @ D I S C U S S I O N S – Solution A – Answer Each customer received 1 loaf.
@ @ A S S E S S M E N T Directions: Solve each problem carefully using AGONSA. 1. Bea baked 2 1/2 cakes and shared them equally among 5 neighbors. How much cake did each neighbor receive?
@ @ A S S E S S M E N T 2. Dingdong divided 3/4 kilogram of peanuts into 3 bags equally. How many kilograms were in each bag? 3. Liza divided 5/6 liter of juice by 1/3 liter. What is the quotient?
@ @ A S S E S S M E N T 4. Joshua shared 4 1/2 pizzas among 9 friends equally. How much pizza did each friend get? 5. Julia divided 2/5 meter of cloth by 1 1/5. What is the quotient?
@ @ A S S E S S M E N T Directions: Complete the missing answer. 1. John solved 3/4 ÷ 3 = ________ 2. Alessandra solved 5 1/2 ÷ 11 = ________
@ @ A S S E S S M E N T 3. Empoy solved 2/3 ÷ 2/5 = ________ 4. Janella solved 6 ÷ 1/2 = ________ 5. Enrique solved 4/5 ÷ 1 3/5 = ________