Section C Section C Checkpoint

Problem 1

Three friends equally share 12\frac{1}{2} kg of cherries. 
  1. Write a division expression that represents this situation.
  2. Write a multiplication expression that represents this situation.
  3. How many kilograms of cherries did each friend get? Explain or show your reasoning.
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Solution
  1. 12÷3\frac{1}{2} \div 3
  2. 13×12\frac{1}{3} \times \frac{1}{2} (or equivalent)
  3. 16\frac{1}{6} kg. Sample response: I just found the value of 13×12\frac{1}{3} \times \frac{1}{2}.
Show Sample Response
Sample Response
  1. 12÷3\frac{1}{2} \div 3
  2. 13×12\frac{1}{3} \times \frac{1}{2} (or equivalent)
  3. 16\frac{1}{6} kg. Sample response: I just found the value of 13×12\frac{1}{3} \times \frac{1}{2}.

Problem 2

The trail is 3143 \frac{1}{4} miles long. Mai walked 13\frac{1}{3} of the trail. How many miles did Mai walk? Explain or show your reasoning.
 
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Solution
11121 \frac{1}{12} miles. Sample response: 13\frac{1}{3} of 3 is 1 and 13\frac{1}{3} of 14\frac{1}{4} is 13×14\frac{1}{3} \times \frac{1}{4} or 112\frac{1}{12}.
Show Sample Response
Sample Response
11121 \frac{1}{12} miles. Sample response: 13\frac{1}{3} of 3 is 1 and 13\frac{1}{3} of 14\frac{1}{4} is 13×14\frac{1}{3} \times \frac{1}{4} or 112\frac{1}{12}.