โˆถ Ratio Calculator

Simplify a Ratio (A : B)

Simplified Ratio

Divide a Quantity in a Ratio

Divided Quantities

Understanding Ratios

A ratio is a comparison of two or more quantities. Ratios can be written as A:B, A/B, or "A to B." They are used in cooking, maps, finance, and science.

To simplify A:B โ†’ divide both by GCD(A,B)
12:8 โ†’ GCD=4 โ†’ 3:2

Ratio Applications

  • Cooking: Scale recipes up or down maintaining taste
  • Maps: 1:1000 means 1 cm = 1000 cm in reality
  • Finance: Debt-to-equity ratio, price-to-earnings ratio
  • Mixing: Cement, paint, chemical solutions

Frequently Asked Questions

How do you simplify a ratio? โ–ผ
Divide both values by their GCD. For 12:8, GCD is 4. 12รท4 = 3, 8รท4 = 2. Simplified ratio = 3:2.
What is a 1:1 ratio? โ–ผ
A 1:1 ratio means both quantities are equal. For example, 50% juice and 50% water is a 1:1 ratio.
How do you divide 100 in a ratio of 3:2? โ–ผ
Total parts = 3+2 = 5. Each part = 100/5 = 20. First share = 3ร—20 = 60. Second share = 2ร—20 = 40.