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How to Multiply 2 or More Fractions

Learn how to perform solving steps for: Multiplying 2 or more fractions, Multiplying fractions with Mixed Numbers, Multiplication of fractions with answers and examples, how to Multiply 3 fractions with same or different denominators, Multiplying fractions with whole numbers.

Multiplying Fractions

Overall Steps to Multiply Fractions:

  1. Multiply Numerators: Multiply the numerators of the fractions together.
  2. Multiply Denominators: Multiply the denominators of the fractions together.
  3. Simplify (if necessary): Simplify the resulting fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

  • Multiply 2 Fractions Calculator
  • 2,3,4...Fractions Calculator

  • Addressing Special Cases:

    • When One Fraction is a Whole Number: Convert the whole number into a fraction before multiplying.
    • When Fractions are Mixed Numbers: Convert mixed numbers into improper fractions before multiplying.

    Example 1: Multiplying 2 Fractions

    Multiply Given Fractions: 2/3 * 3/4

    Step 1: Multiply numerators: 2 * 3 = 6

    Step 2: Multiply denominators: 3 * 4 = 12

    Result: 2/3 * 3/4 = 6/12

    Simplify if necessary → 6/12 = 1/2

    Example 2: Multiplying 3 Fractions

    Multiply Given Fractions: 1/2 * 2/3 * 3/4

    Step 1: Multiply numerators: 1 * 2 * 3 = 6

    Step 2: Multiply denominators: 2 * 3 * 4 = 24

    Result: 1/2 * 2/3 * 3/4 = 6/24

    Simplify if necessary → 6/24 = 1/4

    Example 3: Multiplying a Whole Number and a Fraction

    Multiply Given Fractions: 3 * 2/5

    Step 1: Convert whole number to fraction: 3 = 3/1

    Step 2: Multiply numerators: 3 * 2 = 6

    Step 3: Multiply denominators: 1 * 5 = 5

    Result: 3 * 2/5 = 6/5

    Example 4: Multiplying Mixed Numbers

    Multiply Given Fractions: 1 1/2 * 2 1/3

    Step 1: Convert mixed numbers to improper fractions: 1 1/2 = 3/2, 2 1/3 = 7/3

    Step 2: Multiply numerators: 3/2 * 7/3 = 21/6

    Step 3: Simplify if necessary → 21/6 = 7/2

    Result: 1 1/2 * 2 1/3 = 7/2

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