[algebra.rationalExpressions.title]

[algebra.rationalExpressions.description]

Enter Fractions

Fraction 1

Theory & Formula

[algebra.rationalExpressions.theory.title]

[algebra.rationalExpressions.theory.description]

calculators.algebra.rationalExpressions.theory.operations.title

calculators.algebra.rationalExpressions.theory.operations.addition

\(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)

calculators.algebra.rationalExpressions.theory.operations.subtraction

\(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)

calculators.algebra.rationalExpressions.theory.operations.multiplication

\(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)

calculators.algebra.rationalExpressions.theory.operations.division

\(\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}\)

calculators.algebra.rationalExpressions.theory.simplification.title

calculators.algebra.rationalExpressions.theory.simplification.description

calculators.algebra.rationalExpressions.theory.simplification.example: \(\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}\)

Restrictions

  • The denominator cannot be zero
  • Always identify values that would make the denominator zero (excluded values)
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