Ratio Calculator – Simplify and Solve Ratios Free | ToolzNova
Math Calculator

Ratio Calculator

Simplify ratios, solve proportions (find missing value), and scale ratios. Works for 2-part and 3-part ratios. Free and instant.

Simplify
Ratios
Solve
Proportions
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Ratio Calculator

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Result
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How to Use

Calculate ratios in 3 steps.

1

Choose Mode

Select simplify, solve proportion, or scale ratio.

2

Enter Values

Enter the ratio values or proportion numbers.

3

Get Result

Click Calculate for simplified ratio or missing value.


Why ToolzNova?

Instant

Results in milliseconds.

🎯

Accurate

Precise formulas every time.

🔒

Private

No data sent anywhere.

📱

Everywhere

Mobile, tablet, desktop.


Why Calculate Ratios?

  • Recipes: Scale recipe ingredients maintaining correct proportions.
  • Maps: Map scale ratios for distance calculation.
  • Finance: Financial ratios for business performance analysis.
  • Art & Design: Maintain aspect ratios when resizing images.
  • Chemistry: Mixing ratios for solutions and reactions.
  • Engineering: Gear ratios, speed ratios, and material mixing.

Tips & Examples

  • To simplify a:b, divide both by their GCD.
  • Proportion a:b = c:x means a/b = c/x, so x = b×c/a.
  • 3:4 ratio means for every 3 of A there are 4 of B.
  • Scale factor 2 turns 3:4 into 6:8 — same ratio, larger values.
  • Golden ratio ≈ 1:1.618 — found throughout art and nature.
  • Aspect ratio 16:9 — standard widescreen display format.

Free Ratio Calculator Online

ToolzNova's free ratio calculator simplifies ratios to lowest terms, solves proportion problems (finding the missing value), and scales ratios by any factor — three essential ratio operations in one tool.

Ratios compare quantities and are fundamental in mathematics, cooking, chemistry, engineering, and finance. Proportions extend ratios to find unknown values when two ratios are equal.

Ratio Formulas

Simplification: divide a:b by GCD(a,b). Proportion: a/b = c/x → x = (b×c)/a. Scaling: multiply both parts by the scale factor.


Frequently Asked Questions

Free?
Yes! 100% free.
How to simplify 12:8?
Divide by GCD(12,8)=4 → 3:2.
What is a proportion?
Two equal ratios: a:b = c:d. Used to find missing values.
What is GCD?
Greatest Common Divisor — used to simplify ratios to lowest terms.
Scale ratio 2:3 by 5?
2×5:3×5 = 10:15 = same proportion as 2:3.
What is golden ratio?
Approximately 1:1.618 — aesthetically pleasing proportion in art/design.
Aspect ratio meaning?
Width to height ratio — 16:9 means 16 units wide for 9 units tall.
Data stored?
No — runs in browser.
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