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Ratio Calculator

Looking for a ratio simplifier and ratio scale calculator? This free tool gives you simplify ratios to lowest terms and scale them up or down. Just enter your numbers and press Calculate — results are instant.

How to Use This Ratio Calculator

A ratio compares two numbers as a pair, like 6 to 8. Simplifying means dividing both sides by their greatest common divisor — 6:8 becomes 3:4, the same proportion in lowest terms. Scaling keeps the proportion while changing the size: if A becomes a new value, B changes by the same factor. The calculator also shows the ratio as a fraction and as the percent A makes of the total.

Formula Used

Simplify by dividing both sides by their greatest common divisor. To scale: new B = B ÷ A × new A. A as a percent of the total = A ÷ (A + B) × 100.

Worked Example

Example: Ratio A=6, B=8

  1. The greatest common divisor of 6 and 8 is 2, so divide both sides: 6:8 simplifies to 3:4.
  2. As a fraction, A ÷ B = 6 ÷ 8 = 0.75.
  3. A is 6 ÷ (6 + 8) = 42.86% of the total.

Simplified Ratio: 3 : 4

Frequently Asked Questions

How do I simplify a ratio?

Divide both sides by their greatest common divisor. 6:8 shares a divisor of 2, so it simplifies to 3:4 — the same proportion in lowest terms.

How do I scale a ratio up or down?

Keep the proportion: multiply or divide both sides by the same number. If 3:4 becomes 6:8, both sides doubled. Enter the new value for A and the calculator finds the matching B.

What is the difference between a ratio, a fraction and a percent?

They are the same relationship written differently: the ratio 3:4 is the fraction 3/4, which is 75%, and A is 42.86% of the total 3 + 4 = 7.

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