Basic Math Examples

$\frac{\frac{1}{3 + 5}}{3 - \frac{1}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{3 + 5} \cdot \frac{1}{3 - \frac{1}{3}}$

Step 2

Add $3$ and $5$ .

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

Step 3

Simplify the denominator.

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Step 3.1

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

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

Step 3.2

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

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

Step 3.3

Combine the numerators over the common denominator.

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

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $3$ by $3$ .

$\frac{1}{8} \cdot \frac{1}{\frac{9 - 1}{3}}$

Step 3.4.2

Subtract $1$ from $9$ .

$\frac{1}{8} \cdot \frac{1}{\frac{8}{3}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{8} (1 (\frac{3}{8}))$

Step 5

Multiply $\frac{3}{8}$ by $1$ .

$\frac{1}{8} \cdot \frac{3}{8}$

Step 6

Multiply $\frac{1}{8} \cdot \frac{3}{8}$ .

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Step 6.1

Multiply $\frac{1}{8}$ by $\frac{3}{8}$ .

$\frac{3}{8 \cdot 8}$

Step 6.2

Multiply $8$ by $8$ .

$\frac{3}{64}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{64}$

Decimal Form:

$0.046875$