Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Multiply $\frac{2}{3 - \frac{3}{4}}$ by $1$ .

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

Step 3

Simplify the denominator.

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Step 3.1

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

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

Step 3.2

Combine $3$ and $\frac{4}{4}$ .

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

Step 3.3

Combine the numerators over the common denominator.

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

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $3$ by $4$ .

$\frac{2}{\frac{12 - 3}{4}}$

Step 3.4.2

Subtract $3$ from $12$ .

$\frac{2}{\frac{9}{4}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$2 (\frac{4}{9})$

Step 5

Multiply $2 (\frac{4}{9})$ .

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Step 5.1

Combine $2$ and $\frac{4}{9}$ .

$\frac{2 \cdot 4}{9}$

Step 5.2

Multiply $2$ by $4$ .

$\frac{8}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{9}$

Decimal Form:

$0.\overline{8}$