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Addition and Subtraction of Fractions

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1 Addition and Subtraction of Fractions
Unit 5

2 1. Solve ( ) – ( 2 3 − 1 3 )

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

4 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

5 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) B. 5 – (5/6 + 4/6) C. 5 – (5/12 + 2/12) D (5/6 – 4/6)

6 5. Solve

7 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.

8 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 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 Kevin is dividing 5 cookies between 3 friends. How many cookies will each friend receive? This can be represented by

9 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?

10 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.

11 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 trays of brownies What fraction of the brownies were not sold? SHOW YOUR WORK!

12 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!

13 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?


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