Using fractions and fractional numbers of the digits $1$ to $10$ and only the mathematical operations of addition, subtraction, multiplication, and division, including parenthesis (e.g. $1 + 2 - (3 * 4)$), can you write $11$ equations to get the numbers $0$ to $10$ (one number per equation)?
Rules
- Each equation must use ALL the digits from $1$ to $10$ but ONLY ONCE.
- Fractions and fractional numbers cannot result in integers when evaluated individually. For example, in the case of this puzzle, $\frac{3}{9}$ is considered a valid fraction but $\frac{9}{3}$ is not since it evaluates to $3$. A valid fractional number in the context of this puzzle contains a fraction like $\frac{8}{3}$ or $\frac{9}{7}$ etc.
- Each equation as written must show the fractions or fractional numbers.
- No concatenation.
Thus the LHS of each equation will show five fractions or fractional numbers. RHS would be from $0$ to $10$ ― so eleven equations. All $10$ digits must be used but only once.
No partial answers please and no programming.