We can think of \(3\div \frac14\) as the question “How many groups of \(\frac14\) are in 3?” Draw a tape diagram to represent this question. Then find the answer.

Use the tape diagram to answer the question: How many \(\frac25\)s are in \(1\frac12\)?

Show your reasoning.

Diego said that the answer to the question “How many groups of \(\frac56\) are in 1?” is \(\frac 65\) (or \(1\frac15\)). Do you agree with him? Explain or show your reasoning.

Write a multiplication equation and a division equation to represent each sentence or diagram.

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for \$3.80, and another vendor sells 1.5 liters for \$2.70. Which is the better deal? Explain your reasoning.

Find each unknown number.

1. 12 is 150% of what number?

2. 5 is 50% of what number?

3. 10% of what number is 300?

4. 5% of what number is 72?

5. 20 is 80% of what number?