To solve the expression 3/7 * (-1/9), follow these steps:

  1. Identify the fractions: We have 3/7 and -1/9 (the negative sign indicates that the result will also be negative).
  2. Multiply the numerators: The numerators are 3 and -1. So, we calculate:
    • 3 * -1 = -3
  3. Multiply the denominators: The denominators are 7 and 9. Calculate:
    • 7 * 9 = 63
  4. Combine the results: Place the product of the numerators over the product of the denominators, resulting in:
    • Result = -3/63
  5. Simplify if needed: We can simplify -3/63. The greatest common divisor (GCD) of 3 and 63 is 3:
    • Divide both the numerator and the denominator by 3:
      • -3 ÷ 3 = -1
      • 63 ÷ 3 = 21
    So, we have:
    • Result = -1/21

Thus, the final answer is -1/21.


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