Mathematical formulas

Algebra

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1Numbers and algebraic properties
2Powers, exponents, and radicals
3Algebraic expressions
4Notable products and identities
5Factorization
6Rational expressions and partial fractions
7Equations
8Inequalities
9Systems of equations
10Functions
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12Exponentials and logarithms
13Complex numbers
14Sequences, finite series, and recurrences
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18Vector spaces
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20Eigenvalues and diagonalization
21Orthogonality and projections
22Least squares
23Matrix decompositions
24Matrix norms and conditioning
25Boolean algebra
26Modular arithmetic
27Algebraic structures
28Linear codes and error correction
29Relationship maps

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Subjects
Algebra
Rational expressions and partial fractions
Product and division of fractions

6. Rational expressions and partial fractions

Product and division of fractions

Level: fundamental

In 6. Rational expressions and partial fractions

Formula

\frac{a}{b} \frac{c}{d} = \frac{a c}{b d}; \frac{a / b}{c / d} = \frac{a d}{b c}

Detail

Rules for products and quotients of algebraic fractions.

Related formulas

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Sum of algebraic fractions
$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$
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