A ratio is a comparison of two or more quantities. It is typically expressed as a fraction or using the colon symbol (:).

Ratios can be written in three ways:

- As a fraction:
**a / b** - Using the colon symbol:
**a : b** - Using the word "to":
**a to b**

Ratios can be simplified by dividing both parts of the ratio by their greatest common factor (GCF).

Equivalent ratios have the same proportional relationship and can be found by multiplying or dividing both parts of the ratio by the same number.

Find the ratio of red marbles to blue marbles if there are 4 red marbles and 6 blue marbles.

**Ratio = 4 : 6 = 2 : 3**

Here are some key points to remember about ratios:

- A ratio compares two or more quantities.
- Ratios can be written as a fraction, using the colon symbol, or with the word "to."
- Ratios can be simplified by dividing both parts by their GCF.
- Equivalent ratios have the same proportional relationship and can be found by multiplying or dividing both parts by the same number.

Practice writing and simplifying ratios, as well as finding equivalent ratios to strengthen your understanding of this concept.

Good luck with your studies!

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Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.