Multiplying Mixed Numbers

Mixed numbers consist of an integer followed by a fraction.

    Multiplying two mixed numbers:
  • Convert each mixed number to an improper fraction.
  • Multiply the two numerators together.
  • Multiply the two denominators together.
  • Convert the result back to a mixed number if it is an improper fraction.
  • Simplify the mixed number.

Example: 6  2/8   *   3  5/9 =

Convert each mixed number to an improper fraction.50/8   *   32/9
Multiply the two numerators together. 50 * 32 = 1600
Multiply the two denominators together. 8 * 9 = 72
Convert the result to a mixed number. 1600/72 = 22   16/72
Simplify the mixed number. 22  2/9

Multiplying Mixed Numbers



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