In a cricket match, $\frac{2}{9}\mathrm{}$ of the tickets were reserved and the remaining $3500\mathrm{}$ were sold at the counter. If there are $k$ number of seats, then find the value of $k$.

Verify the commutative property of multiplication for the given pairs of rational number.

$7$ and $\frac{-6}{7}$

Show that $a÷(b÷c)\ne (a÷b)÷c$, for :

$a=\frac{-4}{9},b=\frac{-12}{20},c=\frac{-3}{5}$

Verify the following:

State whether the following statement is true or false.

The whole numbers are closed for addition.

Find the multiplicative inverse, i.e., the reciprocal of $\frac{11}{20}$.

Consider the equation below:

$\frac{5}{6}+\left(\frac{1}{8}+\frac{16}{5}\right)=A+\frac{1}{8}$

Apply properties of rational numbers to find $A$. 

Find $\frac{3}{4}\times \frac{5}{6}+\frac{9}{16}\times \frac{-4}{15}-\frac{19}{30}\times \frac{3}{4}$. (Using Distributive Property)