How to multiply monomial quotients

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ACT Math › How to multiply monomial quotients

Questions 1 - 2

Choose the answer that is the simplest form of the following expression of monomial quotients:

$\frac{2x^3y^4}{10z^3} * \frac{4z^2p}{10xy}$

$\frac{2x^2y^3p}{25z}$

$\frac{8x^2y^3p}{25z^2}$

$\frac{2xyp}{15z}$

$\frac{2p}{25z}$

$\frac{13x^2y^3p}{100z}$

$\frac{2x^3y^4}{10z^3} * \frac{4z^2p}{10xy}$

To simplify, first multiply across:

$\frac{8x^3y^4z^2p}{100z^3xy}$

Then, reduce:

$\frac{2x^2y^3p}{25z}$

Choose the answer that is the best solution to the following expression of monomial quotients:

$\frac{4x^2p^3}{3mn^2} * \frac{2mn}{12xy}$

$\frac{2xp^3}{9ny}$

$\frac{8xp^3}{36ny}$

$\frac{4xp}{11n^2y}$

$\frac{4xp^3}{5ny}$

$\frac{2xp}{9n^2y}$

$\frac{4x^2p^3}{3mn^2} * \frac{2mn}{12xy}$

To multiply monomial quotients, treat them as you would any other fraction. Combine like terms wherever possible:

$\frac{8x^2p^3mn}{36mn^2xy}$

Then, you need to reduce:

$\frac{2xp^3}{9ny}$