Basic Math Examples

68 \div 6 - 2

$68 \div 6 - 2$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{68}{6} - 2$

Step 1.2

Cancel the common factor of

$68$ and

$6$ .

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Step 1.2.1

Factor

$2$ out of

$68$ .

$\frac{2 (34)}{6} - 2$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor

$2$ out of

$6$ .

$\frac{2 \cdot 34}{2 \cdot 3} - 2$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 \cdot 34}{2 \cdot 3} - 2$

Step 1.2.2.3

Rewrite the expression.

$\frac{34}{3} - 2$

Step 2

To write

$- 2$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{34}{3} - 2 \cdot \frac{3}{3}$

Step 3

Combine

$- 2$ and

$\frac{3}{3}$ .

$\frac{34}{3} + \frac{- 2 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{34 - 2 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$- 2$ by

$3$ .

$\frac{34 - 6}{3}$

Step 5.2

Subtract

$6$ from

$34$ .

$\frac{28}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{28}{3}$

Decimal Form:

$9.\overline{3}$

Mixed Number Form:

$9 \frac{1}{3}$

$68 \div 6 - 2$

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