Ratios are used to compare two quantities. A ratio can be written in several ways, such as $a:b$, $a$ to $b$, or $\frac{a}{b}$, where $b$ is not equal to zero. Comparing ratios involves determining if two ratios are equivalent, meaning they represent the same relationship. We can simplify ratios, find equivalent ratios by multiplying or dividing both parts by the same number, and use them to solve real-world problems. Understanding ratios helps us make informed decisions when scaling recipes, understanding maps, and more! Comparing ratios helps determine proportional relationships.
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Ratio | A. A comparison of two quantities. |
| 2. Equivalent Ratios | B. Ratios that represent the same relationship. |
| 3. Proportion | C. A statement that two ratios are equal. |
| 4. Simplify | D. To reduce a ratio to its simplest form. |
| 5. Rate | E. A ratio comparing two quantities with different units. |
(Answers: 1-A, 2-B, 3-C, 4-D, 5-E)
Ratios can be written in three ways: as a _______, using a _______, or using the word "_______". To check if two ratios are _______, you can cross-multiply or simplify them to see if they are the same. Understanding _______ is important in many real-world situations, such as cooking and map reading.
(Answers: fraction, colon, to, equivalent, ratios)
Explain, using an example, how comparing ratios can help you make a decision when choosing between two different brands of juice concentrate at the store.
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