Find the product.

9(−3/7)(−1/3)
9
(

3
7
)
(

1
3
)
(1 point)
Responses

−37

3
7
negative 3 sevenths

−97

9
7
negative 9 sevenths

97
9
7
9 sevenths

3/7

1 answer

To find the product \( 9 \left(-\frac{3}{7}\right) \left(-\frac{1}{3}\right) \), we can follow these steps:

  1. Multiply the fractions first: \[ \left(-\frac{3}{7}\right) \left(-\frac{1}{3}\right) = \frac{3 \times 1}{7 \times 3} = \frac{3}{21} \]

  2. Simplify \( \frac{3}{21} \): \[ \frac{3}{21} = \frac{1}{7} \]

  3. Now, multiply by 9: \[ 9 \left(\frac{1}{7}\right) = \frac{9}{7} \]

Thus, the final product is: \[ \frac{9}{7} \]

The correct response is \( 97 \) (or \( 9/7 \)).