Ratio Calculator

Simplify ratios, solve for a missing term, and scale a ratio to a total.

Formula

a : b = c : d  →  d = bc / a

Tips

  • A ratio compares parts to each other; a fraction compares a part to the whole. In 3:4, A is 3/7 of the total, not 3/4.
  • Scaling a recipe or a mix is a proportion problem: keep A:B fixed and solve for the new quantity.
  • Aspect ratios are just ratios in their simplest form — 1920:1080 reduces to 16:9.

Frequently asked questions

What is the difference between a ratio and a rate?

A ratio compares two quantities of the same kind and has no units. A rate compares different kinds — miles per hour, cost per unit — and carries units.

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