Basic Math Examples

$\frac{1}{\frac{3}{1 - \frac{1}{27}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$1 \frac{1 - \frac{1}{27}}{3}$

Step 2

Multiply $\frac{1 - \frac{1}{27}}{3}$ by $1$ .

$\frac{1 - \frac{1}{27}}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Write $1$ as a fraction with a common denominator.

$\frac{\frac{27}{27} - \frac{1}{27}}{3}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{\frac{27 - 1}{27}}{3}$

Step 3.3

Subtract $1$ from $27$ .

$\frac{\frac{26}{27}}{3}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{26}{27} \cdot \frac{1}{3}$

Step 5

Multiply $\frac{26}{27} \cdot \frac{1}{3}$ .

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Step 5.1

Multiply $\frac{26}{27}$ by $\frac{1}{3}$ .

$\frac{26}{27 \cdot 3}$

Step 5.2

Multiply $27$ by $3$ .

$\frac{26}{81}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{26}{81}$

Decimal Form:

$0.32098765 \dots$