One inch is around \(2\frac{11}{20}\) centimeters.

Ruler. Top of ruler, inches. Scale 0 to 4, by 1's. Each inch is divided into 16 equal parts with tick marks. Bottom of ruler, centimeters. Scale 0 to 10 by 1's. Each centimeter is divided into 10 equal parts with tick marks. 

1. How many centimeters long is 3 inches? Show your reasoning.
2. What fraction of an inch is 1 centimeter? Show your reasoning.
3. What question can be answered by finding \(10 \div 2\frac{11}{20}\) in this situation?

A zookeeper is \(6\frac14\) feet tall. A young giraffe in his care is \(9\frac38\) feet tall.

1. How many times as tall as the zookeeper is the giraffe?
2. What fraction of the giraffe’s height is the zookeeper’s height? 

A rectangular bathroom floor is covered with square tiles that are \(1\frac12\) feet by \(1\frac12\) feet. The length of the bathroom floor is \(10\frac12\) feet and the width is \(6\frac12\) feet.

1. How many tiles does it take to cover the length of the floor?
2. How many tiles does it take to cover the width of the floor?

A road crew paved \(\frac{1}{5}\)-mile of a road one morning. If this is \(\frac{3}{4}\) of the section to be paved, how long is the entire section?

1. Write a multiplication equation and a division equation to represent the question.
2. Find the answer, and show your reasoning.

What fraction of \(\frac{1}{2}\) is \(\frac{1}{3}\)? Show your reasoning. Use the grid to draw a tape diagram if you find it helpful.

Noah says, “There are \(2\frac12\) groups of \(\frac45\) in 2.” Do you agree with him? Draw a tape diagram to show your reasoning. Use graph paper, if needed.