Additive and Multiplicative Inverse of Rational Numbers

$\left(-27\right)+$_____$=0$.

Can you tell me what is additive inverse.

The multiplicative inverse of $\left(x+1\right)+\frac{1}{\left(x-1\right)}$ is 

The multiplicative inverse of $(x+1 )+ \frac{1}{(x-1)}$

Name the property used to solve the following:

$\frac{9}{10}\times 1=\frac{9}{10}$

$\frac{c}{d}$  is called the reciprocal or multiplicative inverse of another non-zero rational number $\frac{a}{b}$, if $\frac{a}{b}\times \frac{c}{d}=$

What is the multiplicative inverse of $\frac{2}{3}+\frac{1}{5}-\left\{\frac{1}{4}-\frac{1}{3}\right\}$? (Write answer as improper fraction)

Simplify the following:

$\left(\frac{-11}{-15}\right)\times \left(\frac{-15}{-11}\right)$

Simplify the following:

$\frac{2}{3}\times \frac{3}{2}$

Simplify the following:

$\left(\frac{-4}{9}\right)\times \left(\frac{9}{-4}\right)$

Find the additive inverse of the following rational numbers.

$\frac{8}{15}$

Find the additive inverse of the following rational numbers.

$\left(\frac{-6}{11}\right)$

Simplify the following 

$\frac{8}{15}+\left(\frac{-8}{15}\right)$

Simplify the following:

$\left(\frac{-6}{11}\right)+\frac{6}{11}$

Find the rational number by solving the following:

$\left(\frac{11}{-12}\right)\times 1$

Find the rational number by solving the following:

$\left(-6\right)\times 1$

Find the rational number by solving the following:

$1\times \left(\frac{-8}{-9}\right)$

Find the rational number by solving the following:

$\left(\frac{-3}{4}\right)\times 1$

Write the reciprocal of $-5$.

Find the multiplicative inverse of $312$.