## Ratio (noun)

### Definition

Ratio is a noun that refers to the quantitative relationship or comparison between two or more quantities of the same kind. It expresses the proportion, relative size, or numerical relationship between the quantities.

### Etymology

The word ratio comes from the Latin word “ratiō,” which means reckoning, calculation, or reasoning.

### Synonyms

- proportion
- fraction
- quotient
- relationship
- correlation

### Antonyms

- disproportion
- imbalance

### Example

The ratio of boys to girls in the classroom was 3:2, indicating that there were three boys for every two girls.

**FAQs (Frequently Asked Questions)**

**How is a ratio expressed?**

A ratio is typically expressed in the form of “a:b” or “a to b,” where “a” and “b” are the quantities being compared. For example, a ratio of 2:1 means that there are two units of one quantity for every unit of the other quantity.

**How are ratios used in real-world applications?**

Ratios are used in various real-world applications, such as in cooking recipes (ingredients’ proportions), financial analysis (profit margins), engineering (gear ratios), and statistics (odds and probabilities).

**What is a golden ratio?**

The golden ratio, often represented by the Greek letter phi (φ), is an irrational number approximately equal to 1.618. It is considered aesthetically pleasing and is often found in art, architecture, and nature.

**Can ratios be simplified or converted to other forms?**

Yes, ratios can be simplified by dividing both terms by their greatest common divisor. For example, the ratio 12:8 can be simplified to 3:2. Ratios can also be converted to percentages or decimals for easier comparison and analysis.

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