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Name: Date/Block: Math 6 Study Guide: Fraction Operations Summative Assessment Date: What do I need to know for the upcoming assessment? 1) How to add and subtract fractions You need to have a common denominator 2) How to multiply fractions and mixed numbers Must have fraction form (convert mixed numbers to improper fractions) Cross simplify Multiply the numerators Multiply the denominators Simplify your final answer or turn it into a mixed number 3) How to divide fractions and mixed numbers Must have fraction form (convert mixed numbers to improper fractions) Keep, Change, Flip Cross simplify Multiply the numerators Multiply the denominators Simplify your final answer or turn it into a mixed number 4) How to interpret models of multiplying and dividing with fractions 5) How to solve word problems that include fractions and mixed numbers with single or multiple operations Clue Words Add Sum All Together In all Combined And Plus Increased Subtract Difference How much more How much less Minus Fewer Left over Decreased Multiply Of Times Twice (times 2) Product Multiplied by Divide Each Quotient Split Goes into Shared

Multiplying and Dividing Fractions Directions: Show work for each problem. ALL answers must be in simplest form. 1) 2) 3) 4) 5) 2

6) 7) 8) 9) 10) 3

11) The model below depicts a fraction operation. 1 1 What equation is represented? 12) A) B) C) D) The model below depicts a fraction operation. What equation is represented? A) B) C) D) 4

Practical Problems with Fractions Directions: Choose the best answer. Show work for each problem. 13) A car repair shop offers its customers free coffee while they wait. By the end of the day, the coffee pot, which had started out with 9 gallons of coffee, was left with 1 14) gallons. How many gallons of coffee had been consumed? Camille and her sister went together to get haircuts. Camille got 9 inches cut off and her sister got 5 inches cut off. Compared to her sister, how much more hair did Camille get taken off? 5

For questions 15 & 16, use the table below. Student Height Students Height (in feet) Elyse Lyla Kristin 15) What is the combined height of ALL students? 16) How much taller is Kristin than Lyla? 6

17) At a pizza party, Oliver and his friends drank 2 bottles of lemon-lime soda and 3 bottles of cola. How much soda did they drink in all? 18) Porter broke into his dog food bin, which holds 30 cups of dog food. He consumed of the food. How many cups of dog food did he eat? Do you think he gave himself a stomach ache? 7

19) Logan made 5 pounds of trail mix. If he puts pounds into each bag, how many bags can Logan fill? 20) My mom made 6 sandwiches using jars of peanut butter. Each sandwich got the same amount of peanut butter. How much peanut butter did Mom use in each sandwich? 8

21) Nate’s cat eats cup of cat food each day. He is going on vacation for a week and wants to take his cat, Frank. How much cat food should Nate pack for Frank? 22) Carrie and her friends ordered 2 cherry cheesecakes and 1 chocolate cheesecake. They ate of the cherry cheesecake and of the chocolate cheesecake. How much cheesecake did they eat? 9

IXL Practice SOL 6.4: The student will demonstrate multiple representations of multiplication and division of fractions. Multiply fractions: Multiply fractions - with models (Sixth grade - V.5) Divide fractions: Divide by fractions - with models (Sixth grade - W.1) Divide fractions: Reciprocals (Sixth grade - W.2) SOL 6.6.a: The student will multiply and divide fractions and mixed numbers; and Multiply fractions: Fractions of whole numbers I (Sixth grade - V.1) Multiply fractions: Fractions of whole numbers II (Sixth grade - V.2) Multiply fractions: Multiply mixed numbers and whole numbers (Sixth grade - V.10) Multiply fractions: Multiply mixed numbers (Sixth grade - V.11) Divide fractions: Divide fractions and mixed numbers (Sixth grade - W.5) Mixed operations: Add, subtract, multiply, and divide fractions and mixed numbers (Sixth grade - X.6) SOL 6.6.b: Solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions. Add and subtract fractions: Add and subtract fractions with unlike denominators: word problems (Sixth grade - U.4) Add and subtract fractions: Add and subtract mixed numbers: word problems (Sixth grade U.7) Multiply fractions: Fractions of a number: word problems (Sixth grade - V.3) Multiply fractions: Multiply fractions: word problems (Sixth grade - V.7) Multiply fractions: Multiply mixed numbers: word problems (Sixth grade - V.12) Divide fractions: Divide fractions and mixed numbers: word problems (Sixth grade - W.6) Mixed operations: Add, subtract, multiply, and divide fractions and mixed numbers: word problems (Sixth grade - X.7) 10

10 IXL Practice SOL 6.4: The student will demonstrate multiple representations of multiplication and division of fractions. Multiply fractions: Multiply fractions -with models (Sixth grade V.5) Divide fractions: Divide by fractions -with models (Sixth grade W.1) Divide fractions: Reciprocals (Sixth grade - W.2) SOL 6.6.a: The student will multiply and divide fractions and mixed

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