# 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.

- \(4:5\) and \(8:10\)
- \(18:3\) and \(6:1\)

- \(2:7\) 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.

### Problem 5

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

- For every 4 __________________, there are 3 __________________.
- The ratio of __________________ to __________________ is \(6:3\).
- The ratio of __________________ to __________________ is 4 to 6.
- For every 1 orange, there are ______ bananas.

### Problem 6

Write fractions for points \(A\) and \(B\) on the number line.