Question

simplify (x²y³z)/(4x) divided by (3xy⁴ z²)/(2z)

Answer 1

\(\bf \cfrac{
\frac{x^2y^3z}{4x}
}{
\frac{3xy^4z^2}{2z}
}\qquad \qquad recall\implies \cfrac{\quad \frac{a}{b}\quad }{\frac{c}{d}}\implies \cfrac{a}{b}\cdot \cfrac{d}{c}
\\ \quad \\
\cfrac{
\frac{x^2y^3z}{4x}
}{
\frac{3xy^4z^2}{2z}
}\implies \cfrac{x^2y^3z}{4x}\cdot \cfrac{2z}{3xy^4z^2}\implies \cfrac{2zx^2y^3z}{4x\cdot 3xy^4z^2}\)