Addition and Subtraction of Fractions Unit 5

1. Solve ( 5 6 - 1 3 ) – ( 2 3 − 1 3 )

2. The table below shows different amounts of brown sugar each cake recipe needs. Dan has 7 cups of brown sugar. Which 2 cake recipes can he make with exactly 7 cups of flour. Type of Cake Brown Sugar (in cups) Chocolate 4 ¼ Lemon 2 ½ Strawberry 2 ¾ Vanilla 4 ½ A. Vanilla and Lemon Chocolate and Lemon Strawberry and Chocolate Lemon and Strawberry

3. David is training for a race and is running 5 miles each week for the next 7 weeks. If David already ran 1 ¼ mile on the first day of the week, how many more miles does he need to run in order to reach his goal for the week? A. 33 ¾ miles B. 8 ¾ miles C. 3 ¾ miles D. 35 ¼ miles

4. Samuel has 5 gallons of gas for his errands 4. Samuel has 5 gallons of gas for his errands. He uses 2/3 of a gallon of gas on Saturday and he uses 5/6 of a gallon of gas on Sunday. Which of the following expressions represent the amount of gas that Samuel has left? Select all that apply. A. 5 – (15/18 + 12/18) B. 5 – (5/6 + 4/6) C. 5 – (5/12 + 2/12) D. 5 + (5/6 – 4/6)

5. Solve 4 2 3 - 1 1 4

6. Sebastian is making a turtle and a pond out of clay 6. Sebastian is making a turtle and a pond out of clay. The directions say he will need 3 𝟐 𝟑 bars of clay to make the turtle and 2 𝟏 𝟔 bars to make the pond. Which picture represents the total amount of clay that Sebastian will need. A. B. C.

7. Which of the following situations are represented by the correct fraction? Select ALL that apply. Jake’s teacher is dividing 7 brownies between 6 children. How many brownies will each child get? This can be represented by 1 6 7. Mary is dividing 2 pizzas between 5 children. How much of the pizza will each child get? This can be represented by 2 5. Lisa is dividing 11 packs of markers between 5 students. How many packs of markers will each student get? This can be represented by 10 5 . Kevin is dividing 5 cookies between 3 friends. How many cookies will each friend receive? This can be represented by 5 3 .

8. Jason has friends over for a party 8. Jason has friends over for a party. He ordered pizza for everyone to eat. 2 ¾ of cheese pizza was eaten and 1 ½ of pepperoni pizza was eaten. PART A: How much total pizza was eaten at the party? Part B: If Jason ordered 6 pizzas for the party, how much was left over?

9. Use the equation below to complete the following directions Part A: Replace one or both fractions from the equation above to create equivalent fractions with like denominators. Part B: Solve the equation you wrote in Part A.

10. Mariana made 5 trays of brownies to sell at the bake sale 10. Mariana made 5 trays of brownies to sell at the bake sale. Mariana cut each tray of brownies to 𝟏 𝟏𝟎 size slices. PART A: How many slices will Mariana have to sell at the bake sale? SHOW YOUR WORK! PART B: Mariana sold 4 1 5 trays of brownies. What fraction of the brownies were not sold? SHOW YOUR WORK!

PART A: How much left over pizza does James have? Show your work! 11. After a party, James had left-over pizza. He had 𝟏 𝟑 of a cheese pizza, 𝟏 𝟐 of a pepperoni, and 𝟓 𝟔 of a sausage pizza. PART A: How much left over pizza does James have? Show your work! PART B: Leslie has ¾ of a pizza. How much more pizza does James have than Leslie? Show your work!

12. Downtown Pencil Company created 3 new scented pencils with different diameters. The table below shows how many of each diameter pencil was sold in July. Diameter of pencil Cases Sold 1 3 inch 4 ½ inch 8 ¾ inch 7 PART A: Create a line plot of the information shown in the chart. PART B: How much larger is the widest pencil from the narrowest pencil?