Basic Math Examples

$- \frac{3 g^{5} h^{3}}{24 g^{5} h^{4}} \cdot h^{3}$

Step 1

Cancel the common factor of $h^{3}$ .

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Step 1.1

Move the leading negative in $- \frac{3 g^{5} h^{3}}{24 g^{5} h^{4}}$ into the numerator.

$\frac{- 3 g^{5} h^{3}}{24 g^{5} h^{4}} \cdot h^{3}$

Step 1.2

Factor $h^{3}$ out of $24 g^{5} h^{4}$ .

$\frac{- 3 g^{5} h^{3}}{h^{3} (24 g^{5} h)} \cdot h^{3}$

Step 1.3

Cancel the common factor.

$\frac{- 3 g^{5} h^{3}}{h^{3} (24 g^{5} h)} \cdot h^{3}$

Step 1.4

Rewrite the expression.

$\frac{- 3 g^{5} h^{3}}{24 g^{5} h}$

Step 2

Cancel the common factor of $- 3$ and $24$ .

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Step 2.1

Factor $3$ out of $- 3 g^{5} h^{3}$ .

$\frac{3 (- g^{5} h^{3})}{24 g^{5} h}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $24 g^{5} h$ .

$\frac{3 (- g^{5} h^{3})}{3 (8 g^{5} h)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (- g^{5} h^{3})}{3 (8 g^{5} h)}$

Step 2.2.3

Rewrite the expression.

$\frac{- g^{5} h^{3}}{8 g^{5} h}$

Step 3

Cancel the common factor of $g^{5}$ .

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Step 3.1

Cancel the common factor.

$\frac{- g^{5} h^{3}}{8 g^{5} h}$

Step 3.2

Rewrite the expression.

$\frac{- 1 h^{3}}{8 h}$

Step 4

Cancel the common factor of $h^{3}$ and $h$ .

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Step 4.1

Factor $h$ out of $- 1 h^{3}$ .

$\frac{h (- 1 h^{2})}{8 h}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $h$ out of $8 h$ .

$\frac{h (- 1 h^{2})}{h \cdot 8}$

Step 4.2.2

Cancel the common factor.

$\frac{h (- 1 h^{2})}{h \cdot 8}$

Step 4.2.3

Rewrite the expression.

$\frac{- 1 h^{2}}{8}$

Step 5

Move the negative in front of the fraction.

$- \frac{h^{2}}{8}$