Decide which expression is greater in each pair. Explain your choice without calculating the value of the expressions.

1. \(210 \div 3\)

   \(210 \div 5\)

2. \(210 \div 3\)

   \(75 \div 3\)

A pan of macaroni and cheese is \(\frac{1}{3}\) full. A group of 4 friends splits the remaining macaroni and cheese equally.

1. Make a drawing that represents the situation.
2. Write a division expression representing how much of a pan each friend gets.
3. Explain how the drawing shows the division expression.

1. Use this diagram to represent the expression \(\frac{1}{5} \div 2\) .

   

2. Explain how the diagram shows \(\frac{1}{5} \div 2\) .
3. What is the value of \(\frac{1}{5} \div2\)?

Mai has a strip of paper that is 3 feet long. She cuts it into \(\frac{1}{4}\) foot strips.

1. How many \(\frac{1}{4}\) foot strips did Mai make? Explain or show your reasoning.

2. Write a division equation to represent your answer.

Find the value of each expression.

1. \(5 \div \frac{1}{4}\)
2. \(6 \div \frac{1}{4}\)
3. \(3 \div \frac{1}{6}\)
4. \(3 \div \frac{1}{7}\)

Solve each problem. Write an equation.

1. There are 4 liters of water. How many \(\frac{1}{2}\) liter bottles of water can you fill?

2. 4 friends split \(\frac{1}{2}\) pound of dried fruit equally. How many pounds of fruit does each friend get?

Find the value of each expression. Explain or show your reasoning.

1. \(3 \div \frac{1}{4}\)
2. \(\frac{1}{5} \div 8\)

For each diagram, write a story problem that the tape diagram represents. Then use the diagram to solve the problem.

It takes Earth 1 year to go around the Sun.

1. During the time it takes Earth to go around the Sun, Mercury goes around the Sun about 4 times. How many years does it take Mercury to make 1 full orbit of the Sun?
2. During the time it takes Earth to go around the Sun, Saturn goes \(\frac{1}{29}\) of the way around the Sun. How many years does it take Saturn to go around the Sun?