Lesson 6

A group of friends is sharing $2\frac12$ pounds of berries.

1. If each friend received $\frac54$ of a pound of berries, how many friends are sharing the berries?
2. If 5 friends are sharing the berries, how many pounds of berries does each friend receive?

$\frac25$ kilogram of soil fills $\frac13$ of a container. Can 1 kilogram of soil fit in the container? Explain or show your reasoning.

After raining for $\frac34$ of an hour, a rain gauge is $\frac25$ filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?

1. To help answer this question, Diego wrote the equation $\frac34\div \frac25={?}$. Explain why this equation does not represent the situation.
2. Write a multiplication equation and a division equation that do represent the situation.

3 tickets to the museum cost $12.75. At this rate, what is the cost of:

1. 1 ticket?
2. 5 tickets?

Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed.

1. How far did Elena go in 1 second?
2. How far did Noah go in 1 second?

3. Who went faster? Explain or show your reasoning.

The first row in the table shows a recipe for 1 batch of trail mix. Complete the table to show recipes for 2, 3, and 4 batches of the same type of trail mix.