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    To multiply mixed numbers, convert them to improper fractions, multiply the numerators and denominators, then simplify and convert back to a mixed number.

    Step-by-Step Process

    1. Convert Mixed Numbers to Improper Fractions
      A mixed number has a whole number and a fraction (e.g., 3 1/4). Multiply the whole number by the denominator of the fraction and add the numerator:
    \[ 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} \]
    1. Multiply the Fractions
      Multiply the numerators together and the denominators together:
    \[ \frac{13}{4} \times \frac{10}{3} = \frac{130}{12} \]
    1. Simplify the Fraction
      Reduce the fraction to its lowest terms:
    \[ \frac{130}{12} = \frac{65}{6} \]
    1. Convert Back to a Mixed Number
      Divide the numerator by the denominator to get the whole number and remainder:
    \[ \frac{65}{6} = 10 \frac{5}{6} \]

    Tips for Efficiency

    Example

    Multiply \(2 \frac{1}{3} \times 3 \frac{2}{5}\):
    1. Convert to improper fractions: \(2 \frac{1}{3} = 7/3\), \(3 \frac{2}{5} = 17/5\)
    2. Multiply: \(7/3 \times 17/5 = 119/15\)
    3. 2 Sources
  2. Multiplying Mixed Numbers - Math Antics Extras

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    In this re-make of our Mixed Numbers video, we take a more intuitive approach to converting between Mixed Numbers and Improper Fractions. You can stil...

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    Use the procedures you learned to convert each mixed number into an improper fraction, and each improper fraction into a mixed number.

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