Find the multiplicative inverse or reciprocal of each of the following: Simplify: Fill in the blanks:

    $$
    9 \times \left(\frac{12}{-5}\right)
    $$

    $$
    \frac{9 \times 12}{-5} = \frac{108}{-5}
    $$

    $$
    \boxed{-\frac{108}{5}}
    $$

    $$
    -8 \times \left(\frac{16}{-5}\right)
    $$

    $$
    \frac{-8 \times 16}{-5} = \frac{-128}{-5}
    $$

    $$
    \boxed{\frac{128}{5}}
    $$

    $$
    \frac{-12}{7} \times \left(\frac{1}{-18}\right)
    $$

    $$
    \frac{-12 \times 1}{7 \times (-18)} = \frac{-12}{-126}
    $$

    $$
    \frac{-12 \div 6}{-126 \div 6} = \frac{-2}{-21}
    $$

    $$
    \boxed{\frac{2}{21}}
    $$

    $$
    \left(\frac{-1}{10}\right) \times \left(\frac{5}{-8}\right)
    $$

    $$
    \frac{-1 \times 5}{10 \times (-8)} = \frac{-5}{-80}
    $$

    $$
    \frac{-5 \div 5}{-80 \div 5} = \frac{-1}{-16}
    $$

    $$
    \boxed{\frac{1}{16}}
    $$

    $$
    \left(\frac{-16}{35}\right) \times \left(\frac{14}{-15}\right)
    $$

    $$
    \frac{-16 \times (2 \times 7)}{(5 \times 7) \times (-15)} = \frac{-16 \times 2}{5 \times (-15)}
    $$

    $$
    \frac{-32}{-75}
    $$

    $$
    \boxed{\frac{32}{75}}
    $$

    $$
    \left(\frac{-65}{14}\right) \times \left(\frac{-7}{13}\right)
    $$

    $$
    \frac{-(5 \times 13) \times (-7)}{(2 \times 7) \times 13} = \frac{-5 \times (-1)}{2 \times 1}
    $$

    $$
    \frac{5}{2}
    $$
*   $$\boxed{\frac{5}{2}}$$

    $$
    x \div \left(\frac{-7}{5}\right) = \frac{10}{19}
    $$

    $$
    x = \frac{10}{19} \times \left(\frac{-7}{5}\right)
    $$

    $$
    x = \frac{10 \times (-7)}{19 \times 5} = \frac{2 \times 5 \times (-7)}{19 \times 5} = \frac{2 \times (-7)}{19} = \frac{-14}{19}
    $$
*   खाली स्थान है:
    $$
    \boxed{\frac{-14}{19}}
    $$

    $$
    x \div (-3) = \frac{-4}{15}
    $$

    $$
    x = \frac{-4}{15} \times (-3)
    $$

    $$
    x = \frac{-4 \times (-3)}{15} = \frac{12}{15}
    $$

    $$
    x = \frac{12 \div 3}{15 \div 3} = \frac{4}{5}
    $$
*   खाली स्थान है:
    $$
    \boxed{\frac{4}{5}}
    $$

    $$
    \frac{9}{8} \div x = \frac{-3}{2}
    $$

    $$
    x = \frac{9}{8} \div \left(\frac{-3}{2}\right)
    $$

    $$
    x = \frac{9}{8} \times \left(\frac{2}{-3}\right)
    $$

    $$
    x = \frac{9 \times 2}{8 \times (-3)} = \frac{18}{-24}
    $$

    $$
    x = \frac{18 \div 6}{-24 \div 6} = \frac{3}{-4} = -\frac{3}{4}
    $$
*   खाली स्थान है:
    $$
    \boxed{-\frac{3}{4}}
    $$

    $$
    -12 \div x = \frac{-6}{5}
    $$

    $$
    x = -12 \div \left(\frac{-6}{5}\right)
    $$

    $$
    x = -12 \times \left(\frac{5}{-6}\right)
    $$

    $$
    x = \frac{-12 \times 5}{-6} = \frac{-60}{-6} = 10
    $$
*   खाली स्थान है:
    $$
    \boxed{10}
    $$