Basic Math Examples

$\frac{12}{8} - \frac{1}{6}$

Step 1

Cancel the common factor of $12$ and $8$ .

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Step 1.1

Factor $4$ out of $12$ .

$\frac{4 (3)}{8} - \frac{1}{6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $8$ .

$\frac{4 \cdot 3}{4 \cdot 2} - \frac{1}{6}$

Step 1.2.2

Cancel the common factor.

$\frac{4 \cdot 3}{4 \cdot 2} - \frac{1}{6}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{2} - \frac{1}{6}$

Step 2

To write $\frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{3}{2} \cdot \frac{3}{3} - \frac{1}{6}$

Step 3

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{3}{2}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 3}{2 \cdot 3} - \frac{1}{6}$

Step 3.2

Multiply $2$ by $3$ .

$\frac{3 \cdot 3}{6} - \frac{1}{6}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 1}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

$\frac{9 - 1}{6}$

Step 5.2

Subtract $1$ from $9$ .

$\frac{8}{6}$

Step 6

Cancel the common factor of $8$ and $6$ .

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Step 6.1

Factor $2$ out of $8$ .

$\frac{2 (4)}{6}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 4}{2 \cdot 3}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{4}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$