Basic Math Examples

$\frac{1}{\frac{8}{\frac{1}{4} - \frac{1}{6}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{\frac{1}{4} - \frac{1}{6}}{8}$

Step 2

Multiply $\frac{\frac{1}{4} - \frac{1}{6}}{8}$ by $1$ .

$\frac{\frac{1}{4} - \frac{1}{6}}{8}$

Step 3

Simplify the numerator.

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Step 3.1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{\frac{1}{4} \cdot \frac{3}{3} - \frac{1}{6}}{8}$

Step 3.2

To write $- \frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{1}{4} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{2}{2}}{8}$

Step 3.3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.3.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{\frac{3}{4 \cdot 3} - \frac{1}{6} \cdot \frac{2}{2}}{8}$

Step 3.3.2

Multiply $4$ by $3$ .

$\frac{\frac{3}{12} - \frac{1}{6} \cdot \frac{2}{2}}{8}$

Step 3.3.3

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{\frac{3}{12} - \frac{2}{6 \cdot 2}}{8}$

Step 3.3.4

Multiply $6$ by $2$ .

$\frac{\frac{3}{12} - \frac{2}{12}}{8}$

Step 3.4

Combine the numerators over the common denominator.

$\frac{\frac{3 - 2}{12}}{8}$

Step 3.5

Subtract $2$ from $3$ .

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

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{12} \cdot \frac{1}{8}$

Step 5

Multiply $\frac{1}{12} \cdot \frac{1}{8}$ .

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Step 5.1

Multiply $\frac{1}{12}$ by $\frac{1}{8}$ .

$\frac{1}{12 \cdot 8}$

Step 5.2

Multiply $12$ by $8$ .

$\frac{1}{96}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{96}$

Decimal Form:

$0.01041\overline{6}$