Finite Math Examples

$\frac{35 m^{7}}{2} \cdot \frac{14}{55 m}$

Step 1

Combine.

$\frac{35 m^{7} \cdot 14}{2 (55 m)}$

Step 2

Cancel the common factor of $35$ and $55$ .

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Step 2.1

Factor $5$ out of $35 m^{7} \cdot 14$ .

$\frac{5 (7 m^{7} \cdot 14)}{2 (55 m)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $2 (55 m)$ .

$\frac{5 (7 m^{7} \cdot 14)}{5 (2 (11 m))}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (7 m^{7} \cdot 14)}{5 (2 (11 m))}$

Step 2.2.3

Rewrite the expression.

$\frac{7 m^{7} \cdot 14}{2 (11 m)}$

$\frac{7 m^{7} \cdot 14}{2 (11 m)}$

$\frac{7 m^{7} \cdot 14}{2 (11 m)}$

Step 3

Cancel the common factor of $m^{7}$ and $m$ .

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Step 3.1

Factor $m$ out of $7 m^{7} \cdot 14$ .

$\frac{m (7 m^{6} \cdot 14)}{2 (11 m)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $m$ out of $2 (11 m)$ .

$\frac{m (7 m^{6} \cdot 14)}{m (2 \cdot (11))}$

Step 3.2.2

Cancel the common factor.

$\frac{m (7 m^{6} \cdot 14)}{m (2 \cdot (11))}$

Step 3.2.3

Rewrite the expression.

$\frac{7 m^{6} \cdot 14}{2 \cdot (11)}$

$\frac{7 m^{6} \cdot 14}{2 \cdot (11)}$

$\frac{7 m^{6} \cdot 14}{2 \cdot (11)}$

Step 4

Cancel the common factor of $14$ and $2$ .

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Step 4.1

Factor $2$ out of $7 m^{6} \cdot 14$ .

$\frac{2 (7 m^{6} \cdot 7)}{2 \cdot (11)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2 \cdot (11)$ .

$\frac{2 (7 m^{6} \cdot 7)}{2 (11)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (7 m^{6} \cdot 7)}{2 \cdot 11}$

Step 4.2.3

Rewrite the expression.

$\frac{7 m^{6} \cdot 7}{11}$

$\frac{7 m^{6} \cdot 7}{11}$

$\frac{7 m^{6} \cdot 7}{11}$

Step 5

Multiply $7$ by $7$ .

$\frac{49 m^{6}}{11}$

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