$0$ is the identity element for subtraction of rational numbers.

If we multiply and express the result in lowest form, we get $-\frac{a}{b}$, find the value of $a+b$

$\frac{6}{-7}\times \frac{14}{30}$

If we multiply and express the result in the form of mixed rational number, we get $a\frac{4}{7}$. Find the value of $a$.

$6\frac{2}{3}\times 1\frac{2}{7}$

Multiply and express the result in lowest form:

$\frac{25}{-9}\times \frac{-3}{10}$

Verify commutative property of multiplication for the following pair of rational numbers:

$\frac{4}{5}$ and $\frac{-7}{8}$

Verify commutative property of multiplication for the following pair of rational numbers:

$13\frac{1}{3}$ and $1\frac{1}{8}$

Verify commutative property of multiplication for the following pair of rational numbers:

$\frac{-7}{-20}$ and  $\frac{5}{-14}$

Verify the following and name the property also:

$\frac{3}{5}\times \left(\frac{-4}{7}\times \frac{-8}{9}\right)=\left(\frac{3}{5}\times \frac{-4}{7}\right)\times \frac{-8}{9}$

Verify the following and name the property also:

$\frac{5}{9}\times \left(\frac{-3}{2}+\frac{7}{5}\right)=\frac{5}{9}\times \frac{-3}{2}+\frac{5}{9}\times \frac{7}{5}$