Lesson 5

Defining Equivalent Ratios

Let’s investigate equivalent ratios some more.

Problem 1

Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios.

1. $$4:5$$ and $$8:10$$
2. $$18:3$$ and $$6:1$$
1. $$2:7$$ and $$10,\!000:35,\!000$$

Problem 2

Explain why $$6:4$$ and $$18:8$$ are not equivalent ratios.

Problem 3

Are the ratios $$3:6$$ and $$6:3$$ equivalent? Why or why not?

Problem 4

This diagram represents 3 batches of light yellow paint. Draw a diagram that represents 1 batch of the same shade of light yellow paint.

(From Unit 2, Lesson 4.)

Problem 5

In the fruit bowl there are 6 bananas, 4 apples, and 3 oranges.

1. For every 4 __________________, there are 3 __________________.
2. The ratio of __________________ to __________________ is $$6:3$$.
3. The ratio of __________________ to __________________ is 4 to 6.
4. For every 1 orange, there are ______ bananas.
(From Unit 2, Lesson 1.)

Problem 6

Write fractions for points $$A$$ and $$B$$ on the number line.

(From Unit 2, Lesson 1.)