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Fractions

Law of fractions

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(a / b) + (c / d) = (a d + b c) / (b d) (1)

(a / b) (c / d) = (a c) / (b d) (2)

(a / b) / (c / d) = (a / b) (d / c) (3)

(- a / b) = - (a / b) = a / (- b) (4)

[(a / b) + (c / d)] / [(e / f) + ( g / h)] = ([(a / b) + (c / d)] / [(e / f) + (g / h)]) ([b d f h] / [b d f h])

= [((a d) + (b c)) f h] / [((e h) + (f g)) b d] (5)

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Related Topics

Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

Related Documents

Algebraic Expressions and Formulas - Principal algebraic expressions and formulas
Boolean Algebra - Summary of primitive logic functions
Complex Numbers - Complex numbers are used in alternating current theory and in mechanical vector analysis
Differential Calculus - Derivatives and differentiation
Exponents - Powers and Roots - Fractional and integer exponents laws
Factorials - The product of all positive integers
Hyperbolic Functions - Exponential functions related to the hyperbola
Law of Cosines - One side of a triangle when opposite angle and two sides are known
Law of Sines - Angles in a generic triangle
Laws of Indices - Simplifying calculations by involving indices
Logarithms - Rules of logarithms - log₁₀ and log_e for numbers ranging 1 to 1000
Prime Numbers - Numbers up to 1000
Ratios and Proportions - Relative values between quantities - ratios and proportions
Squares, Cubes and Roots - Numbers - squares, cubes, square roots and cube roots
Standard Differentials and Integrals - Differentials and integrals
Taylor Series - Function as an infinite sum of terms
Trigonometric Functions - Sine, Cosine and Tangent - Natural Trigonometric Functions

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