What is the difference between a ratio and a proportion?
A ratio compares two quantities (A:B); a proportion is an equation stating that two ratios are equal (A:B = C:D).
Simplify a ratio or solve for a missing value.
Simplifies mathematical ratios (A:B) to their lowest terms using the Greatest Common Divisor and solves for missing proportional values (A:B = C:D).
Simplified Ratio = (A / GCD(A, B)) : (B / GCD(A, B)) | Proportions: D = (B × C) / A
Reduces terms by dividing by their greatest common factor and solves cross-multiplication equations.
Inputs: Ratio A = 48 | Ratio B = 64
Summary: Original Ratio = 48:64 | Simplified = 3:4 | Decimal Ratio = 0.75
A ratio compares two quantities (A:B); a proportion is an equation stating that two ratios are equal (A:B = C:D).
Add the ratio parts together to find the whole (A + B), then calculate [A / (A + B)] × 100.
Multiplying or dividing all terms in the ratio by the same non-zero number to expand or shrink quantities proportionately.