Exercise
$\frac{1}{3-\frac{3}{7z+\frac{8}{6-\frac{12}{21z}}}}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression 1/(3+-3/(7z+8/(6+-12/(21z)))). Cancel the fraction's common factor 3. Combine 6+\frac{-4}{7z} in a single fraction. Combine 7z+\frac{8}{\frac{-4+42z}{7z}} in a single fraction. Combine 3+\frac{-3}{\frac{4+42z}{\frac{-4+42z}{7z}}} in a single fraction.
Simplify the expression 1/(3+-3/(7z+8/(6+-12/(21z))))
Final answer to the exercise
$\frac{7z\left(4+42z\right)}{3\left(4-14z+294z^2\right)}$