Ratio Calculator

    Calculate ratios, simplify proportions, and solve ratio problems with step-by-step solutions.

    Ratio Calculator

    Basic Ratio (A : B)

    Proportion Solver (A : B = C : D)

    Enter one of C or D to solve for the missing value

    About Ratios & Proportions

    A ratio compares two quantities, while a proportion states that two ratios are equal. These concepts are essential in mathematics, cooking, business, and many other fields.

    Key Concepts

    • Ratio: Comparison of two quantities (a : b or a/b)
    • Proportion: Equality of two ratios (a : b = c : d)
    • Simplification: Reducing ratios to lowest terms
    • Cross multiplication: a : b = c : d ⟹ a × d = b × c

    Common Applications

    • Recipe scaling and cooking measurements
    • Map scales and distance calculations
    • Financial ratios and business analysis
    • Architecture and engineering blueprints
    • Mixing solutions and chemical concentrations

    Example Problems

    • If 3 apples cost $2, how much do 9 apples cost?
    • A recipe calls for 2 cups flour to 3 cups milk. How much flour for 6 cups milk?
    • On a map, 1 inch represents 50 miles. What distance does 3.5 inches represent?

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