Section B Section B Checkpoint

Problem 1

 
Diagram. 3 equal parts. 1 fourth of 1 part shaded. Total length, 1.
  1. Write a division expression that represents the shaded piece of the diagram.
  2. Write a multiplication expression that represents the shaded piece of the diagram.
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Solution
  1. 13÷4\frac{1}{3} \div 4
  2. 14×13\frac{1}{4} \times \frac{1}{3}
Show Sample Response
Sample Response
  1. 13÷4\frac{1}{3} \div 4
  2. 14×13\frac{1}{4} \times \frac{1}{3}

Problem 2

Find the value of each expression. Draw a diagram if it helps.

  1. 13÷5\frac {1}{3} \div 5
  2. 16÷4\frac {1}{6} \div 4
  3. 18÷3\frac {1}{8} \div 3
Show Solution
Solution
  1. 115\frac{1}{15}
    Tape diagram
  2. 124\frac{1}{24}
    Tape diagram
  3. 124\frac{1}{24}
    Tape diagram
Show Sample Response
Sample Response
  1. 115\frac{1}{15}
    Tape diagram
  2. 124\frac{1}{24}
    Tape diagram
  3. 124\frac{1}{24}
    Tape diagram

Problem 3

Kiran made 12 liters of juice for a party. A serving of juice is 14\frac{1}{4} liter. How many servings of juice does Kiran have? Explain or show your reasoning.

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Solution

48 servings. Sample response: 12 liters is the total amount. If you split each liter into fourths, you'd have four servings for each liter. 12÷1412 \div \frac{1}{4} is the same as 12×412 \times 4, so the answer is 48.

Show Sample Response
Sample Response

48 servings. Sample response: 12 liters is the total amount. If you split each liter into fourths, you'd have four servings for each liter. 12÷1412 \div \frac{1}{4} is the same as 12×412 \times 4, so the answer is 48.