Lesson 6: Practice Problems

Problem 1

A group of friends is sharing $2 \frac{1}{2}$ pounds of berries.

If each friend received $\frac{5}{4}$ of a pound of berries, how many friends are sharing the berries?
If 5 friends are sharing the berries, how many pounds of berries does each friend receive?

Problem 2

$\frac{2}{5}$ kilogram of soil fills $\frac{1}{3}$ of a container. Can 1 kilogram of soil fit in the container? Explain or show your reasoning.

Problem 3

After raining for $\frac{3}{4}$ of an hour, a rain gauge is $\frac{2}{5}$ filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?

To help answer this question, Diego wrote the division equation $\frac{3}{4} \div \frac{2}{5} = ?$ . Explain why this equation does not represent the situation.
Write a multiplication equation and a division equation that does represent the situation.

Problem 4

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

1 ticket?
5 tickets?

Problem 5

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

How far did Elena go in 1 second?
How far did Noah go in 1 second?
Who went faster? Explain or show your reasoning.

Problem 6 From Unit 2 Lesson 8

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.

number of batches	cups of cereal	cups of almonds	cups of raisins
$1$	$2$	$\frac{1}{3}$	$\frac{1}{4}$
$2$
$3$
$4$