Ratio & Proportion Calculator
Simplify ratios to lowest terms, convert to decimals & percentages, and solve proportions.
Simplify Ratio (A : B)
:
=
2 : 3
Fraction
2/3
Decimal
0.6667
Percentage
66.67%
Solve Proportion (\(A : B = C : D\))
Leave any one box blank to solve for the unknown value.
:
=
:
Calculated Missing Value
D = 24
Ratio & Proportion Formulas
View All Math Formulas Handbook →Ratio Simplification
Divide by the greatest common divisor:
$$ a : b = \frac{a}{\gcd(a, b)} : \frac{b}{\gcd(a, b)} $$
Cross-Multiplication Proportion
Solving proportion equations:
$$ \frac{a}{b} = \frac{c}{d} \iff a \times d = b \times c $$