Find the product.

−4/7(−11/2)
(1 point)
Responses

− 22/7
negative 22 sevenths

− 41/14
negative 41 over 14

41/14
41 over 14

22/7
22 sevenths

1 answer

To find the product of \(-\frac{4}{7}\) and \(-\frac{11}{2}\), you can multiply the two fractions together.

\[ -\frac{4}{7} \times -\frac{11}{2} = \frac{4 \times 11}{7 \times 2} \]

Calculating the numerator and the denominator:

\[ = \frac{44}{14} \]

Now, you can simplify \(\frac{44}{14}\) by finding the greatest common divisor (GCD) of 44 and 14, which is 2:

\[ \frac{44 \div 2}{14 \div 2} = \frac{22}{7} \]

So, the product \(-\frac{4}{7} \times -\frac{11}{2} = \frac{22}{7}\).

The correct response is:

22/7
22 sevenths