比例计算器
使用我们的免费在线比例计算器计算两个数字之间的比例、简化比例并转换为小数形式。
Ratio Solver
Provide any three values to calculate the fourth in the ratio A:B = C:D.
Ratio Scaling Calculator
Scale a ratio by a factor to get new values while maintaining the same proportion.
Visual Representations of the Ratio
Convert Ratio to Fraction
A part-to-part ratio states the proportion of the parts in relation to each other. The sum of the parts makes up the whole. The ratio 1 : 2 is read as "1 to 2." This means of the whole of 3, there is a part worth 1 and another part worth 2.
To convert a part-to-part ratio to fractions:
- Add the ratio terms to get the whole. Use this as the denominator.1 : 2 => 1 + 2 = 3
- Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction.1 : 2 => 1/3, 2/3
- Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.
Converting Ratios to Percentages
To convert a ratio to a percentage, you first convert it to a fraction and then multiply by 100.
Example: Convert the ratio 3 : 4 to a percentage
- First, determine what part of the whole you want to express as a percentage. Let's say we want to know what percentage 3 is of the total (3+4).
- Calculate the fraction: 3 ÷ (3+4) = 3 ÷ 7 = 0.4285...
- Multiply by 100 to get the percentage: 0.4285... × 100 = 42.85%
Therefore, in the ratio 3 : 4, the first part represents approximately 42.85% of the whole.
Converting Ratios to Decimals
To convert a ratio to a decimal, divide the first number by the second number.
Example: Convert the ratio 3 : 4 to a decimal
3 ÷ 4 = 0.75
The ratio 3 : 4 as a decimal is 0.75, which means the first number is 0.75 times the second number.
Equivalent Ratios
Equivalent ratios are ratios that express the same relationship between numbers. You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same number.
Example: Find equivalent ratios for 3 : 4
- Multiply both terms by 2: 3 × 2 : 4 × 2 = 6 : 8
- Multiply both terms by 5: 3 × 5 : 4 × 5 = 15 : 20
- Multiply both terms by 25: 3 × 25 : 4 × 25 = 75 : 100
All of these ratios (3:4, 6:8, 15:20, 75:100) are equivalent because they represent the same proportional relationship.
Typical Aspect Ratios and Sizes of Screens and Videos
The aspect ratio is the ratio of a geometric shape's sizes in different dimensions. In the case of a rectangle, the aspect ratio is that of its width to its height. Below is a list of typical computer screen/video resolutions and aspect ratios.
| Name | Aspect ratio | Width (pixel) | Height (pixel) |
|---|---|---|---|
| 480p | 3:2 | 720 | 480 |
| 576p | 5:4 | 720 | 576 |
| 720p | 16:9 | 1280 | 720 |
| 1080p | 16:9 | 1920 | 1080 |
| 1440p | 16:9 | 2560 | 1440 |
| 4K UHD | 16:9 | 3840 | 2160 |
| Cinema 4K | 17:9 | 4096 | 2160 |
| 8K UHD | 16:9 | 7680 | 4320 |
Common Ratio Applications
Ratios are used in many fields from photography to design, architecture, and media production. Here are some common ratio applications you might encounter.
| Name | Ratio | Description |
|---|---|---|
| Standard Photo | 3:2 | Common in DSLR photography |
| Square Photo | 1:1 | Instagram classic format |
| Widescreen TV | 16:9 | Modern television standard |
| Ultrawide Monitor | 21:9 | Cinematic computer displays |
| Classic Cinema | 4:3 | Traditional film and early TV |
| Cinemascope | 2.35:1 | Widescreen cinema format |
| Golden Ratio | 1:1.618 | Aesthetically pleasing proportion |
什么是比例？
比例是两个或多个相关数字之间的比较，表示一个值包含另一个值的次数或被包含的次数。它表达了数量之间的关系，可以以不同的形式书写，如3:1、3/1或小数形式3.0。
如何计算比例
计算比例的步骤如下：1) 选择要比较的两个数字，2) 用冒号分隔它们（例如3:1），3) 如果可能，通过将两个数字除以它们的最大公约数来简化，4) 通过将第一个数字除以第二个数字转换为小数形式。
常见比例示例
- 食谱配料：2杯面粉对1杯糖（2:1比例）
- 地图比例尺：1英寸代表100英里（1:100比例）
- 财务规划：支出与储蓄比例为4:1