1. A plank of wood was $12\frac{1}{3}$ meters long. After a piece was cut for a project, $7\frac{3}{4}$ meters remained. What was the length of the cut piece in meters?
2. Without performing the final calculation, which equation will produce the largest value for the variable $k$?
3. Solve for the variable $x$: $ \frac{3}{4}x = \frac{7}{8} $. Express your answer as a fraction. The value of $x$ is ___.
4. What is the value of $p$ in the equation $p \div \frac{2}{3} = \frac{9}{10}$?
5. Solve for $k$ in the equation $1\frac{1}{2}k = \frac{3}{5}$. The value of $k$ is ___.
6. A number $m$ divided by $2\frac{1}{3}$ equals $\frac{3}{7}$. What is the value of $m$? ___