Find the product.

−4/7(−11/2)

4
7
(

11
2
)
(1 point)
Responses

4114
41
14
41 over 14

−227

22
7
negative 22 sevenths

−4114

41
14
negative 41 over 14

22/7

1 answer

To find the product \(-\frac{4}{7} \left(-\frac{11}{2}\right)\), you can multiply the two fractions:

\[ -\frac{4}{7} \times -\frac{11}{2} = \frac{4 \times 11}{7 \times 2} = \frac{44}{14} \]

Next, simplify \(\frac{44}{14}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

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

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

The answer is:

\(\frac{22}{7}\)