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Solve each problem. Show your work, use models where indicated, and explain your reasoning when asked.
1. Use the fraction strip below to explain why 1 2 + 1 4 does not equal 2 6 . Then write the correct sum.
2. Plot 5 6 on the number line. Then plot the sum of 1 6 + 2 3 . Are the two points in the same location? What does that tell you about the sum?
0 1/6 1/3 1/2 2/3 5/6 1 5/6 Answer:
3. Priya is making a smoothie. She adds 2 and 1 3 cups of mango and 1 and 3 4 cups of pineapple. She wants to know if the total is more than 4 cups. Find the exact total and explain whether it is more or less than 4 cups.
4. Omar added 3 5 + 1 2 and got 4 7 as his answer. Without solving the problem yourself, explain how you can tell that Omar's answer is incorrect. Then find the correct sum.
5. Mei walked 3 and 2 5 miles on Saturday and 1 and 5 6 miles on Sunday. How many more miles did she walk on Saturday than on Sunday? Use the bar model to set up and solve the comparison.
Saturday 3 and 2/5 miles Sunday 1 and 5/6 miles Answer:
6. A recipe calls for 1 and 2 3 cups of flour and 2 and 1 2 cups of oats. Esperanza wants to make one and a half batches of the recipe. First find the total cups of dry ingredients for one batch. Then find the total needed for one and a half batches. Show all steps.
7. Two students solved 4 and 1 6 minus 1 and 5 9 . Imani got 2 and 13 18 and Diego got 2 and 11 18 . Determine which student is correct. Justify your answer by showing your full solution with a common denominator.
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