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Equivalent Ratios Calculator

Ratios compare two numbers like a : b. If we multiply both parts by the same number, we get an equivalent ratio. This calculator generates lots of them instantly, useful for practice, homework, and real-world tasks (recipes, scale drawings, maps).

What does the calculator do?

  • Enter a ratio (a and b). Integers, decimals, and fractions (like 3/4) are allowed.
  • Choose how many results to generate.
  • Set a starting multiplier and step size.
  • Optionally simplify each result.
  • Copy any row or the whole table.

    Example: For 3 : 4, with 6 results (start=1, step=1), you get:
  • ×1 → 3 : 4
  • ×2 → 6 : 8
  • ×3 → 9 : 12
  • ×4 → 12 : 16
  • ×5 → 15 : 20
  • ×6 → 18 : 24

    With simplification on, all reduce back to 3 : 4.

Why is it important?

  • In school: Strengthens proportional reasoning.
  • In real life: Cooking, maps, model scaling, comparing speeds.
  • In advanced math: Foundation for fractions, percentages, algebra.

Frequently Asked Questions

Q1: What is an equivalent ratio?

Two ratios showing the same relationship (3:4 and 6:8).

Q2: Can I enter fractions?

Yes — type 3/4, the calculator will handle it.

Q3: How do I simplify a ratio?

Tick “Simplify” to reduce automatically.

Q4: How many ratios can I generate?

Up to 200 at a time.