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H1_Ratio Calculator - Simplify & Solve for X | MultiTool

Simplify any ratio (12:8 to 3:2) or solve for the missing value in a proportion a:b = c:x. Free and instant.

:
SIMPLIFIED RATIO3:2

How it works

Two modes: Simplify reduces any pair to its lowest form using the greatest common divisor, and Solve for X computes the missing term of a proportion with a step-by-step explanation.

Ratios, proportions and scaling

A ratio compares two quantities (2:3), and a proportion states two ratios are equal (2:3 = 4:6). Scaling is just solving for the missing piece โ€” the classic cross-multiplication:

a : b = c : x โ†’ x = (b ร— c) รท a

  • Recipes: a cake for 4 uses 2 cups flour to 3 cups milk; for 10 guests, scale both by 2.5 โ€” the taste is identical because the ratio is.
  • Part-to-part vs part-to-whole: โ€œ2:3 flour to milkโ€ is part-to-part; โ€œ2 of every 5 parts is flourโ€ is part-to-whole. Mixing them up is the #1 ratio mistake.
  • Maps and models: scale 1:50 means one measured unit represents 50 real units โ€” architects and model builders live on this.
  • Screen proportions: 16:9 is a ratio; that is why aspect ratios and this calculator are cousins.

Your privacy

Everything runs entirely in your browser. Nothing you type is ever sent to any server or stored.

Frequently Asked Questions

How do I simplify a ratio?+

Divide both numbers by their greatest common divisor. Example: 12:8 divided by 4 gives 3:2.

How do I solve a proportion?+

For a:b = c:x, x = (b x c) / a. The tool shows the full calculation.

Where are ratios used?+

Recipes, scaling designs, mixing solutions, odds and financial ratios like debt-to-equity.

Can the ratio have decimals?+

The tool rounds to whole numbers for the simplified form; use Solve for X for decimal results.

What does a:b mean?+

For every a units of the first quantity there are b units of the second.

Is it free?+

Yes, completely free with no account.

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