Basic Math Examples

$\frac{5 w^{2}}{8 w} \div 7 w^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{5 w^{2}}{8 w}}{7 w^{2}}$

Step 2

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

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Step 2.1

Factor $w$ out of $5 w^{2}$ .

$\frac{\frac{w (5 w)}{8 w}}{7 w^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $w$ out of $8 w$ .

$\frac{\frac{w (5 w)}{w \cdot 8}}{7 w^{2}}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{w (5 w)}{w \cdot 8}}{7 w^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{5 w}{8}}{7 w^{2}}$

$\frac{\frac{5 w}{8}}{7 w^{2}}$

$\frac{\frac{5 w}{8}}{7 w^{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{5 w}{8} \cdot \frac{1}{7 w^{2}}$

Step 4

Combine.

$\frac{5 w \cdot 1}{8 (7 w^{2})}$

Step 5

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

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Step 5.1

Factor $w$ out of $5 w \cdot 1$ .

$\frac{w (5 \cdot 1)}{8 (7 w^{2})}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $w$ out of $8 (7 w^{2})$ .

$\frac{w (5 \cdot 1)}{w (8 (7 w))}$

Step 5.2.2

Cancel the common factor.

$\frac{w (5 \cdot 1)}{w (8 (7 w))}$

Step 5.2.3

Rewrite the expression.

$\frac{5 \cdot 1}{8 (7 w)}$

$\frac{5 \cdot 1}{8 (7 w)}$

$\frac{5 \cdot 1}{8 (7 w)}$

Step 6

Multiply.

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Step 6.1

Multiply $5$ by $1$ .

$\frac{5}{8 \cdot 7 w}$

Step 6.2

Multiply $8$ by $7$ .

$\frac{5}{56 w}$

$\frac{5}{56 w}$

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