Pre-Algebra Examples

$\frac{2 z^{2}}{7} \div 4 z$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{2 z^{2}}{7}}{4 z}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 z^{2}}{7} \cdot \frac{1}{4 z}$

Step 3

Simplify terms.

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Step 3.1

Combine.

$\frac{2 z^{2} \cdot 1}{7 (4 z)}$

Step 3.2

Cancel the common factor of $2$ and $4$ .

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Step 3.2.1

Factor $2$ out of $2 z^{2} \cdot 1$ .

$\frac{2 (z^{2} \cdot 1)}{7 (4 z)}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $2$ out of $7 (4 z)$ .

$\frac{2 (z^{2} \cdot 1)}{2 (7 (2 z))}$

Step 3.2.2.2

Cancel the common factor.

$\frac{2 (z^{2} \cdot 1)}{2 (7 (2 z))}$

Step 3.2.2.3

Rewrite the expression.

$\frac{z^{2} \cdot 1}{7 (2 z)}$

$\frac{z^{2} \cdot 1}{7 (2 z)}$

$\frac{z^{2} \cdot 1}{7 (2 z)}$

Step 3.3

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

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Step 3.3.1

Factor $z$ out of $z^{2} \cdot 1$ .

$\frac{z (z \cdot 1)}{7 (2 z)}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $z$ out of $7 (2 z)$ .

$\frac{z (z \cdot 1)}{z (7 \cdot (2))}$

Step 3.3.2.2

Cancel the common factor.

$\frac{z (z \cdot 1)}{z (7 \cdot (2))}$

Step 3.3.2.3

Rewrite the expression.

$\frac{z \cdot 1}{7 \cdot (2)}$

$\frac{z \cdot 1}{7 \cdot (2)}$

$\frac{z \cdot 1}{7 \cdot (2)}$

Step 3.4

Multiply $z$ by $1$ .

$\frac{z}{7 \cdot (2)}$

$\frac{z}{7 \cdot (2)}$

Step 4

Multiply $7$ by $2$ .

$\frac{z}{14}$

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