Find the product.

Question

9(−3/7)(−1/3)
(1 point)
Responses

−9/7
negative 9 sevenths

9/7
9 sevenths

3/7
3 sevenths

−3/7

Answer 1

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

1. First, multiply \( -\frac{3}{7} \) and \( -\frac{1}{3} \): \[ -\frac{3}{7} \times -\frac{1}{3} = \frac{3}{7} \times \frac{1}{3} = \frac{3 \times 1}{7 \times 3} = \frac{3}{21} = \frac{1}{7} \] (Note: The negatives cancel each other out.)

2. Now, multiply \( 9 \) by \( \frac{1}{7} \): \[ 9 \times \frac{1}{7} = \frac{9}{7} \]

So the product is \( \frac{9}{7} \).

The correct response is: 9/7 (9 sevenths).