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# 10 Examples of Ratios

October 7, 2023 written by Rida Mirza

Ratios are a basic math idea that helps us understand how things relate in size or amount. They are like tools we use to solve many kinds of math problems, like figuring out how things match up, change size, or compare to each other.

In this article, we will discuss ten examples of ratios in math.

## Examples of Ratios

These are 10 examples of ratios.

### 1: Simplifying Fractions

Ratios are frequently used to simplify fractions.

For example, the ratio 6:12 can be simplified to 1:2 by dividing both numbers by their greatest common factor (GCF), which is 6.

### 2: Proportions

Proportions involve setting two ratios equal to each other.

For example, in the proportion 3/4 = 6/8, the ratios 3:4 and 6:8 are equivalent.

### 3: Scale Models

In scale modeling, ratios are used to represent the size relationship between a model and the actual object.

For example, if a model airplane is 1/48 scale, it means that the model’s dimensions are 1/48th of the real plane’s dimensions.

### 4: Speed and Distance Ratios

When calculating speed, ratios are used to relate distance and time.

For example, a car traveling 120 miles in 2 hours has a speed ratio of 120:2, which simplifies to 60:1, meaning it’s moving at 60 miles per hour.

### 5: Probability Ratios

In probability theory, ratios represent the likelihood of an event occurring.

For example, the probability of rolling a 6 on a fair six-sided die is 1/6.

### 6: Financial Ratios

Financial ratios, such as the debt-to-equity ratio, compare financial quantities in business. The debt-to-equity ratio is the ratio of a company’s total debt to its total equity.

### 7: Aspect Ratios

Aspect ratios are used in geometry and photography to describe the ratio of an image’s width to its height.

Common aspect ratios include 4:3, 16:9, and 3:2.

### 8: Golden Ratio

The golden ratio, often represented by the Greek letter phi (φ), is approximately 1.6180339887.

It appears in various natural and artistic contexts, from architecture to art.

### 9: Gear Ratios

In mechanics and engineering, gear ratios describe the relationship between the sizes of gears in a system.

Gear ratios determine the speed and torque of a mechanical system.

### 10: Enlargement and Reduction Ratios

In geometry, enlargement and reduction ratios are used when scaling geometric figures.

For example, if a rectangle is enlarged by a ratio of 3:2, its dimensions become three times as long and two times as wide.

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