Basic Math Examples

$\frac{14 (5 - 3)}{4^{2} - 3^{2}} \div 6$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{14 (5 - 3)}{4^{2} - 3^{2}}}{6}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{14 (5 - 3)}{4^{2} - 3^{2}} \cdot \frac{1}{6}$

Step 3

Simplify terms.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $14 (5 - 3)$ .

$\frac{2 (7 (5 - 3))}{4^{2} - 3^{2}} \cdot \frac{1}{6}$

Step 3.1.2

Factor $2$ out of $6$ .

$\frac{2 (7 (5 - 3))}{4^{2} - 3^{2}} \cdot \frac{1}{2 (3)}$

Step 3.1.3

Cancel the common factor.

$\frac{2 (7 (5 - 3))}{4^{2} - 3^{2}} \cdot \frac{1}{2 \cdot 3}$

Step 3.1.4

Rewrite the expression.

$\frac{7 (5 - 3)}{4^{2} - 3^{2}} \cdot \frac{1}{3}$

Step 3.2

Multiply $\frac{7 (5 - 3)}{4^{2} - 3^{2}}$ by $\frac{1}{3}$ .

$\frac{7 (5 - 3)}{(4^{2} - 3^{2}) \cdot 3}$

Step 3.3

Subtract $3$ from $5$ .

$\frac{7 \cdot 2}{(4^{2} - 3^{2}) \cdot 3}$

Step 4

Simplify the denominator.

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Step 4.1

Raise $4$ to the power of $2$ .

$\frac{7 \cdot 2}{(16 - 3^{2}) \cdot 3}$

Step 4.2

Raise $3$ to the power of $2$ .

$\frac{7 \cdot 2}{(16 - 1 \cdot 9) \cdot 3}$

Step 4.3

Multiply $- 1$ by $9$ .

$\frac{7 \cdot 2}{(16 - 9) \cdot 3}$

Step 4.4

Subtract $9$ from $16$ .

$\frac{7 \cdot 2}{7 \cdot 3}$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Multiply $7$ by $2$ .

$\frac{14}{7 \cdot 3}$

Step 5.2

Multiply $7$ by $3$ .

$\frac{14}{21}$

Step 5.3

Cancel the common factor of $14$ and $21$ .

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Step 5.3.1

Factor $7$ out of $14$ .

$\frac{7 (2)}{21}$

Step 5.3.2

Cancel the common factors.

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Step 5.3.2.1

Factor $7$ out of $21$ .

$\frac{7 \cdot 2}{7 \cdot 3}$

Step 5.3.2.2

Cancel the common factor.

$\frac{7 \cdot 2}{7 \cdot 3}$

Step 5.3.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$