1. We can think of \( 3 \div \frac{1}{4} \) as the answer to the question "How many groups of \( \frac{1}{4} \) are in 3 " Draw a tape diagram to represent the question. Then answer the question.

**Tape Diagram Representation** We can represent the whole number \(3\) as three equal segments (wholes), each divided into \(4\) parts to represent quarters. \[ \begin{array}{|c|c|c|c|} \hline \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \end{array} \] \[ \begin{array}{|c|c|c|c|} \hline \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \end{array} \] \[ \begin{array}{|c|c|c|c|} \hline \frac{1}{4} & \frac{1}{4} & \frac{1}{4} & \frac{1}{4} \\ \hline \end{array} \] Each row represents one whole (which is \(1\)) and is divided into \(4\) quarters. Since there are \(3\) wholes, the total number of quarters is: \[ 3 \times 4 = 12 \] **Answer** \[ 3 \div \frac{1}{4} = 12 \]