Find the sum of$\frac{1}{2}$  the multiplicative identity of rational number and additive inverse of $\frac{-2}{3}.$

Verify the fallowing and name the properties used

$\left[\left(\frac{-2}{3}\right)\times \left(\frac{-5}{6}\right)\right]\times \frac{1}{2}=\left(\frac{-2}{3}\right)\times \left[\left(\frac{-5}{6}\right)\times \frac{1}{2}\right]$.

Verify the fallowing and name the properties used

$\frac{7}{9}+\frac{10}{13}=\frac{10}{13}+\frac{7}{9}$.

Verify the fallowing and name the properties used

$\left[\left(\frac{-1}{5}\right)+\frac{1}{2}\right]+\frac{11}{15}=\left(\frac{-1}{5}\right)+\left[\frac{1}{2}+\frac{11}{15}\right]$.

Verify the fallowing and name the properties used

$\frac{16}{19}\times \left(\frac{-3}{4}\right)=\left(\frac{-3}{4}\right)\times \frac{16}{19}$.