Basic Math Examples

$\frac{(\frac{\frac{4}{5}}{\frac{3}{5}}) (\frac{\frac{1}{8}}{\frac{2}{3}})}{\frac{3}{4}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{\frac{4}{5}}{\frac{3}{5}} \cdot \frac{\frac{1}{8}}{\frac{2}{3}} \frac{4}{3}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{5} \cdot \frac{5}{3} \frac{\frac{1}{8}}{\frac{2}{3}} \frac{4}{3}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Cancel the common factor.

$\frac{4}{5} \cdot \frac{5}{3} \frac{\frac{1}{8}}{\frac{2}{3}} \frac{4}{3}$

Step 3.2

Rewrite the expression.

$4 (\frac{1}{3}) \frac{\frac{1}{8}}{\frac{2}{3}} \frac{4}{3}$

Step 4

Combine $4$ and $\frac{1}{3}$ .

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

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{3} (\frac{1}{8} \cdot \frac{3}{2}) \frac{4}{3}$

Step 6

Multiply $\frac{1}{8} \cdot \frac{3}{2}$ .

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Step 6.1

Multiply $\frac{1}{8}$ by $\frac{3}{2}$ .

$\frac{4}{3} \cdot \frac{3}{8 \cdot 2} \frac{4}{3}$

Step 6.2

Multiply $8$ by $2$ .

$\frac{4}{3} \cdot \frac{3}{16} \frac{4}{3}$

Step 7

Cancel the common factor of $4$ .

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Step 7.1

Factor $4$ out of $16$ .

$\frac{4}{3} \cdot \frac{3}{4 (4)} \frac{4}{3}$

Step 7.2

Cancel the common factor.

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

Step 7.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{3}{4} \frac{4}{3}$

Step 8

Cancel the common factor of $3$ .

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Step 8.1

Cancel the common factor.

$\frac{1}{3} \cdot \frac{3}{4} \frac{4}{3}$

Step 8.2

Rewrite the expression.

$\frac{1}{4} \cdot \frac{4}{3}$

Step 9

Cancel the common factor of $4$ .

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Step 9.1

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4}{3}$

Step 9.2

Rewrite the expression.

$\frac{1}{3}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$