Evaluate: (6a^3b^4)/(5)/(2a^2b^3)/(3)

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Expression: $\frac{ 6{a}^{3}{b}^{4} }{ 5 }\div\frac{ 2{a}^{2}{b}^{3} }{ 3 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 6{a}^{3}{b}^{4} }{ 5 } \times \frac{ 3 }{ 2{a}^{2}{b}^{3} }$

Cancel out the greatest common factor $2$

$\frac{ 3{a}^{3}{b}^{4} }{ 5 } \times \frac{ 3 }{ {a}^{2}{b}^{3} }$

Cancel out the common factor ${a}^{2}$

$\frac{ 3a{b}^{4} }{ 5 } \times \frac{ 3 }{ {b}^{3} }$

Cancel out the common factor ${b}^{3}$

$\frac{ 3ab }{ 5 } \times 3$

Calculate the product

$\frac{ 9ab }{ 5 }$

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