[algebra.rationalExpressions.title]
[algebra.rationalExpressions.description]
Sisesta murrud
Murd 1
Theory & Formula
[algebra.rationalExpressions.theory.title]
[algebra.rationalExpressions.theory.description]
Operations
Addition
\(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
Subtraction
\(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
Multiplication
\(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
Division
\(\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}\)
Simplification
To simplify a rational expression, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.
Example: \(\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}\)
Piirangud
- Nimetaja ei saa olla null
- Tuvasta alati väärtused, mis teeksid nimetaja nulliks (välistatud väärtused)