Ratios

A ratio is a comparison of two quantities. It is often written as a fraction, with a colon, or as a word. For example, the ratio of apples to oranges can be written as 3:2, 3/2, or "3 to 2". Ratios are used to compare the sizes of two or more quantities.

Understanding Ratios

When working with ratios, it's important to remember that the order in which the quantities are written matters. For example, the ratio of boys to girls is different from the ratio of girls to boys. Always pay attention to the order of the quantities being compared.

Writing Ratios

Ratios can be written in different forms, such as:

• Fraction form: 3/5
• Colon form: 3:5
• Word form: 3 to 5

Solving Problems with Ratios

Ratios are used to solve a variety of problems, including proportion problems and comparison problems. When solving problems with ratios, it's important to keep the units consistent and to simplify the ratio if possible.

Study Guide

Here are some key points to remember when studying ratios:

1. Understand that a ratio is a comparison of two quantities.
2. Pay attention to the order of the quantities being compared.
3. Practice writing ratios in different forms (fraction, colon, word).
4. Learn how to solve problems using ratios, including proportion and comparison problems.

By understanding and practicing these concepts, you'll be well-prepared to work with ratios in math problems and real-life situations.