To solve the expression 3/7 * (-1/9), follow these steps:
- Identify the fractions: We have 3/7 and -1/9 (the negative sign indicates that the result will also be negative).
- Multiply the numerators: The numerators are 3 and -1. So, we calculate:
- 3 * -1 = -3
- Multiply the denominators: The denominators are 7 and 9. Calculate:
- 7 * 9 = 63
- Combine the results: Place the product of the numerators over the product of the denominators, resulting in:
- Result = -3/63
- 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
- Divide both the numerator and the denominator by 3:
- Result = -1/21
Thus, the final answer is -1/21.