## What is an Equivalent Ratio?

An equivalent ratio is an expression of two or more values that are equal to one another, and can be expressed in different ways. For example, 1:2 and 2:4 are equivalent ratios, as they both represent the same value. Equivalent ratios are a fundamental mathematical concept, and are especially important when dealing with algebraic equations.

## How to Solve Equivalent Ratios Worksheets

Equivalent ratios worksheets are a great tool for reinforcing the concept of equivalent ratios with 6th graders. The worksheets typically contain a set of numbers and ratios, with the goal being to find the equivalent ratios. To solve them, students must first identify the original ratio, then determine the other ratios in the equation. Once the ratios have been identified, the student must then solve for the missing numbers.

A typical equivalent ratios worksheet 6th grade answers may look something like this:

• Given the ratio 8:24, what is the equivalent ratio?
• Given the ratio 2:6, what is the equivalent ratio?
• Given the ratio 12:36, what is the equivalent ratio?

### Solution:

The answers to these questions are 1:3, 1:3, and 1:3, respectively. To solve these questions, the student needs to identify the original ratio and then solve for the other ratios in the equation. In this case, the original ratio is 8:24, which can be expressed as 1:3. Thus, the equivalent ratio for 2:6 and 12:36 would also be 1:3.

## Conclusion

Equivalent ratios are an important mathematical concept, and understanding them is essential in algebraic equations. Equivalent ratios worksheets are a great way to help 6th graders reinforce their understanding of this concept. By solving these worksheets, students can easily identify the equivalent ratios and solve for the missing numbers.