How to divide monomial quotients

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ACT Math › How to divide monomial quotients

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1

Mike wants to sell candy bars for a profit. If he sells each bar for $\$1.20$ , how much did each bar cost him?

$\$0.80$

CORRECT

$\$1.00$

0

$\$0.75$

0

$\$0.60$

0

Explanation

In order to solve this problem, set up the following equation:

$\frac{1.20}{x}=\frac{150%}{100%}$

Cross multiply:

Divide:

$\frac{150x}{150} = \frac{120}{150} = 0.80$

The original cost of the of each candy bar is $\$0.80$

2

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

$\frac{12x^3y^2p}{4ab}\div\frac{3x^3y}{2ab}$

CORRECT

0

0

0

0

Explanation

$\frac{12x^3y^2p}{4ab}\div\frac{3x^3y}{2ab}$

To divide monomial quotients, simply invert the divisor and multiply:

$\frac{12x^3y^2p}{4ab} *\frac{2ab}{3x^3y} = \frac{24x^3y^2pab}{12abx^3y}$

Then, reduce:

$\frac{24yp}{12} = 2yp$

3

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

$\frac{10m^2np}{3xy}\div\frac{3p^2}{2xym}$

$\frac{20m^3n}{9p}$

CORRECT

$\frac{20x^3}{9y}$

0

$\frac{20p^3n}{9m}$

0

$\frac{20n^3}{9m}$

0

$\frac{9p}{20m^3n}$

0

Explanation

$\frac{10m^2np}{3xy}\div\frac{3p^2}{2xym}$

To find your answer, you have to invert the divisor and multiply across:

$\frac{10m^2np}{3xy} * \frac{2xym}{3p^2} = \frac{20m^3npxy}{9p^2xy}$

Then, reduce:

$\frac{20m^3n}{9p}$

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