Mathematics » Mathematics 104: Fractions » Multiply and Divide Mixed Numbers and Complex Fractions

Key Concepts

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Key Concepts

  • Multiply or divide mixed numbers.
    1. Convert the mixed numbers to improper fractions.
    2. Follow the rules for fraction multiplication or division.
    3. Simplify if possible.
  • Simplify a complex fraction.
    1. Rewrite the complex fraction as a division problem.
    2. Follow the rules for dividing fractions.
    3. Simplify if possible.
  • Placement of negative sign in a fraction.
    • For any positive numbers \(a\) and \(b\), \(\frac{-a}{b}=\frac{a}{-b}=-\frac{a}{b}\).
  • Simplify an expression with a fraction bar.
    1. Simplify the numerator.
    2. Simplify the denominator.
    3. Simplify the fraction.


complex fraction

A complex fraction is a fraction in which the numerator or the denominator contains a fraction.

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