Basic Math Examples

$\frac{7 \cdot y}{9 z} \cdot \frac{z^{2}}{14 y}$

Step 1

Simplify terms.

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Step 1.1

Combine.

$\frac{7 \cdot y z^{2}}{9 z (14 y)}$

Step 1.2

Cancel the common factor of $7$ and $14$ .

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Step 1.2.1

Factor $7$ out of $7 \cdot y z^{2}$ .

$\frac{7 (y z^{2})}{9 z (14 y)}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $7$ out of $9 z (14 y)$ .

$\frac{7 (y z^{2})}{7 (9 z (2 y))}$

Step 1.2.2.2

Cancel the common factor.

$\frac{7 (y z^{2})}{7 (9 z (2 y))}$

Step 1.2.2.3

Rewrite the expression.

$\frac{y z^{2}}{9 z (2 y)}$

$\frac{y z^{2}}{9 z (2 y)}$

$\frac{y z^{2}}{9 z (2 y)}$

Step 1.3

Cancel the common factor of $y$ .

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Step 1.3.1

Cancel the common factor.

$\frac{y z^{2}}{9 z (2 y)}$

Step 1.3.2

Rewrite the expression.

$\frac{z^{2}}{9 z \cdot (2)}$

$\frac{z^{2}}{9 z \cdot (2)}$

Step 1.4

Cancel the common factor of $z^{2}$ and $z$ .

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Step 1.4.1

Factor $z$ out of $z^{2}$ .

$\frac{z \cdot z}{9 z \cdot (2)}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $z$ out of $9 z \cdot (2)$ .

$\frac{z \cdot z}{z (9 \cdot (2))}$

Step 1.4.2.2

Cancel the common factor.

$\frac{z \cdot z}{z (9 \cdot (2))}$

Step 1.4.2.3

Rewrite the expression.

$\frac{z}{9 \cdot (2)}$

$\frac{z}{9 \cdot (2)}$

$\frac{z}{9 \cdot (2)}$

$\frac{z}{9 \cdot (2)}$

Step 2

Multiply $9$ by $2$ .

$\frac{z}{18}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$