Fraction Division Least Common Multiple LCM Greatest Common

Fraction Division Least Common Multiple (LCM) Greatest Common Factor (GCF)

Multiplying Fractions Dividing Fractions Visual Models LCM GCF 10 10 10 20 20 20 30 30 30 40 40 40 50 50 50

Multiplying Fractions – 10 Points QUESTION: Solve: 1/2 * 1/6 ANSWER: 1/12

Multiplying Fractions – 20 Points QUESTION: Solve: 2/7 * 1/3 ANSWER: 2/21

Multiplying Fractions – 30 Points QUESTION: Solve and Simplify: 2/4 * 3/5 ANSWER: 3/10 (not 6/20)

Multiplying Fractions – 40 Points QUESTION: What is ½ of ¾ ? ANSWER: ½ * ¾ = 3/8

Multiplying Fractions – 50 Points QUESTION: Ismael brought home 5/6 of a pizza. If he ate 2/3 of the pizza that he brought home, how much of a whole pizza did he eat? ANSWER: 5/6 * 2/3 = 10/18 or 5/9

Dividing Fractions – 10 Points QUESTION: Solve: 6/8 ÷ 3/8 ANSWER: 6/3 or 2

Dividing Fractions – 20 Points QUESTION: Solve: 15/20 ÷ 5/20 ANSWER: 15/5 or 3

Dividing Fractions – 30 Points QUESTION: Solve: 3/4 ÷ 2/3 ANSWER: Common Denominator: 9/12 ÷ 8/12 = 9/8 Multiply by reciprocal: 3/4 * 3/2 = 9/8

Dividing Fractions – 40 Points QUESTION: Solve: 4 ÷ 3/7 ANSWER: Common Denominator: 28/7 ÷ 3/7 = 28/3 Multiply by Reciprocal: 4/1 * 7/3 = 28/3

Dividing Fractions – 50 Points QUESTION: Solve: 3/5 ÷ 3 ANSWER: Common Denominator: 3/5 ÷ 15/5 = 3/15 or 1/5 Multiply by Reciprocal: 3/5 * 1/3 = 3/15 or 1/5

Visual Models – 10 Points QUESTION: Create a visual model for 1/2 ANSWER:

Visual Models – 20 Points QUESTION: Create a visual model for 3/5 ANSWER:

Visual Models – 30 Points QUESTION: Create a visual model for 3/4 ÷ 2 ANSWER: Solution: 3/8

Visual Models – 40 Points QUESTION: Create a visual model for 4 ÷ 1/4 ANSWER: Solution: 20

Visual Models – 50 Points QUESTION: Create a visual model for the following problem: Melissa used 9 cups of flour to bake bread. If this was ¾ of the total amount of flour she started with, what was the original amount of flour? ANSWER: 3 ? 3 9 3 Solution: 9 ÷ ¾ = 12

LCM – 10 Points QUESTION: LCM (4, 8) ANSWER: 8

LCM – 20 Points QUESTION: LCM (4, 30) ANSWER: 60

LCM – 30 Points QUESTION: LCM (24, 32) ANSWER: 96

LCM – 40 Points QUESTION: Starting at 5: 00 AM, the train leaves from Santa Ana to Los Angeles every 20 minutes. Also starting at 5: 00 AM, busses leave from Santa Ana to Los Angeles every 50 minutes. What is the next time a train and bus leave for Los Angeles at the same time? ANSWER: LCM (20, 50) = 100 minutes = 1 hour, 40 minutes………. . 6: 40 am

LCM – 50 Points QUESTION: Andrew plays soccer every 6 days and plays basketball every 7 days. He played both sports today. How many days from now will he play both sports again? ANSWER: LCM (6, 7) = 42

GCF – 10 Points QUESTION: GCF (4, 8) ANSWER: 4

GCF – 20 Points QUESTION: GCF (30, 45) ANSWER: 15

GCF – 30 Points QUESTION: GCF (96, 144) ANSWER: 48

GCF – 40 Points QUESTION: Selena wants to create snack bags for her friends. She has 6 granola bars and 10 lollipops. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Selena can make? ANSWER: GCF (6, 10) = 2 bags

GCF – 50 Points QUESTION: The cafeteria is making identical fruit baskets. They have 35 apples, 21 bananas, and 28 oranges. They want each basket to have the same numbers of each type of fruit. What is the greatest number of baskets they can make? ANSWER: 35 : 1, 5, 7, 35 21 : 1, 3, 7, 21 28 : 1, 2, 4, 7, 14, 28……………. 7 baskets

Final Jeopardy – 100 points QUESTION: Create a division story/problem to match the following model: 0 1 2 3 4 ANSWER: (will vary) A 6 th grade student can eat 1/5 of a pizza. How many 6 th grade students can be fed by 4 pizzas?