Basic Math Examples

$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{21 z}{12 y^{4}}}$

Step 1

Cancel the common factor of $21$ and $12$ .

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Step 1.1

Factor $3$ out of $21 z$ .

$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{3 (7 z)}{12 y^{4}}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $12 y^{4}$ .

$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{3 (7 z)}{3 (4 y^{4})}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{3 (7 z)}{3 (4 y^{4})}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{7 z^{4}}{24 y^{5}}}{\frac{7 z}{4 y^{4}}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{7 z^{4}}{24 y^{5}} \cdot \frac{4 y^{4}}{7 z}$

Step 3

Combine.

$\frac{7 z^{4} (4 y^{4})}{24 y^{5} (7 z)}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Cancel the common factor.

$\frac{7 z^{4} (4 y^{4})}{24 y^{5} (7 z)}$

Step 4.2

Rewrite the expression.

$\frac{z^{4} (4 y^{4})}{24 y^{5} (z)}$

Step 5

Cancel the common factor of $z^{4}$ and $z$ .

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Step 5.1

Factor $z$ out of $z^{4} (4 y^{4})$ .

$\frac{z (z^{3} (4 y^{4}))}{24 y^{5} (z)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $z$ out of $24 y^{5} (z)$ .

$\frac{z (z^{3} (4 y^{4}))}{z (24 y^{5})}$

Step 5.2.2

Cancel the common factor.

$\frac{z (z^{3} (4 y^{4}))}{z (24 y^{5})}$

Step 5.2.3

Rewrite the expression.

$\frac{z^{3} (4 y^{4})}{24 y^{5}}$

Step 6

Cancel the common factor of $4$ and $24$ .

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Step 6.1

Factor $4$ out of $z^{3} (4 y^{4})$ .

$\frac{4 (z^{3} (y^{4}))}{24 y^{5}}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $4$ out of $24 y^{5}$ .

$\frac{4 (z^{3} (y^{4}))}{4 (6 y^{5})}$

Step 6.2.2

Cancel the common factor.

$\frac{4 (z^{3} (y^{4}))}{4 (6 y^{5})}$

Step 6.2.3

Rewrite the expression.

$\frac{z^{3} (y^{4})}{6 y^{5}}$

Step 7

Cancel the common factor of $y^{4}$ and $y^{5}$ .

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Step 7.1

Factor $y^{4}$ out of $z^{3} (y^{4})$ .

$\frac{y^{4} z^{3}}{6 y^{5}}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $y^{4}$ out of $6 y^{5}$ .

$\frac{y^{4} z^{3}}{y^{4} (6 y)}$

Step 7.2.2

Cancel the common factor.

$\frac{y^{4} z^{3}}{y^{4} (6 y)}$

Step 7.2.3

Rewrite the expression.

$\frac{z^{3}}{6 y}$