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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 - Principal algebraic expressions formulas.
Boolean Algebra - Logic functions where the values of variables are true (1) or false (0).
Complex Numbers - Complex numbers are used in alternating current theory and mechanical vector analysis.
Differential Calculus - Derivatives and differentiation expressions.
Exponents - Powers and Roots - The laws of fractional and integer exponents.
Factorials - The product of all positive integers.
Hyperbolic Functions - Exponential functions related to the hyperbola.
Law of Cosines - One side of a triangle when the opposite angle and two sides are known.
Law of Sines - Calculate the angles in a generic triangle.
Laws of Indices - Simplifying calculations by involving indices.
Logarithms - The rules of logarithms - log₁₀ and log_e for numbers ranging 1 to 1000.
Prime Numbers - Prime numbers up to 1000.
Ratios and Proportions - The relative values between quantities - ratios and proportions.
Squares, Cubes and Roots - Numbers - squares, cubes, square roots and cube roots.
Standard Differentials and Integrals - Equations for differentials and integrals.
Taylor Series - Function as an infinite sum of terms.
Trigonometric Functions - Sine, cosine and tangent - the natural trigonometric functions.

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