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โš–๏ธ Ratio Calculator

Simplify ratios, find missing values, scale ratios, and calculate equivalent ratios. Perfect for math, cooking, and mixing ratios.

Simplify Find Missing Scale Compare

๐Ÿ“ Simplify a Ratio

:
2 : 3

GCF: 5 | Decimal: 0.6667 | Percentage: 66.67%

Equivalent Ratios

:
2:3
4:6
6:9
8:12
10:15
12:18

Common Ratios

  • ๐Ÿ–ฅ๏ธ Screen (4:3)Standard TV
  • ๐Ÿ“ฑ Screen (16:9)HD Widescreen
  • ๐ŸŽจ Golden Ratio1.618:1 (ฯ†)
  • ๐Ÿ“„ Paper (A4)1:โˆš2 โ‰ˆ 1:1.414
  • โ˜• Coffee1:15 (coffee:water)

Real World Uses

๐Ÿณ Cooking

Recipe ratios: 1:2 rice to water, 1:3 oil to vinegar

๐Ÿ’ฐ Finance

Debt-to-income ratio, price-to-earnings ratio (P/E)

๐Ÿ“ Design

Aspect ratios for images/videos, golden ratio in design

Quick Ratio Converter

:
0.75
3:4

๐Ÿ“š Understanding Ratios

What is a Ratio?

A ratio compares two or more quantities, showing their relative sizes. For example, 2:3 means for every 2 of the first quantity, there are 3 of the second.

Simplifying Ratios

Divide both numbers by their greatest common factor (GCF). Example: 10:15 simplifies to 2:3 (GCF = 5).

Equivalent Ratios

Multiply or divide both parts by the same number. 2:3 = 4:6 = 6:9 = 8:12 (all equivalent).

Proportions

A proportion states that two ratios are equal: a:b = c:d. Cross-multiply to solve for missing values.

โœจ The Golden Ratio (ฯ†)

The golden ratio (approximately 1.618:1) appears throughout nature, art, and architecture. It's considered the most aesthetically pleasing proportion.

ฯ† = (1 + โˆš5) / 2 โ‰ˆ 1.6180339887...

โ“ Frequently Asked Questions

How do I simplify a ratio?

Find the greatest common factor (GCF) of both numbers and divide both by it. For example, 12:18: GCF = 6, simplified ratio = 2:3. Our calculator does this automatically.

How do I find a missing value in a ratio?

Use cross-multiplication: if a:b = c:d, then a ร— d = b ร— c. Solve for the unknown. Example: 2:3 = 4:x โ†’ 2x = 12 โ†’ x = 6.

What is aspect ratio?

Aspect ratio is the proportional relationship between width and height of a screen or image. Common ratios: 4:3 (standard TV), 16:9 (HD widescreen), 1:1 (square).

How do I convert a ratio to percentage?

Divide the first number by the second, then multiply by 100. For 2:3 โ†’ (2รท3) ร— 100 = 66.67%. This means the first quantity is 66.67% of the second.

โš ๏ธ Note: For ratios involving zero, some operations may be undefined. Use positive numbers for best results.