Basic Math Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Multiply $\frac{1}{5}$ by $\frac{3}{4}$ .

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

Step 3

Multiply $5$ by $4$ .

$\frac{2}{3} \cdot \frac{1}{\frac{3}{20}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{3} (1 (\frac{20}{3}))$

Step 5

Multiply $\frac{20}{3}$ by $1$ .

$\frac{2}{3} \cdot \frac{20}{3}$

Step 6

Multiply $\frac{2}{3} \cdot \frac{20}{3}$ .

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Step 6.1

Multiply $\frac{2}{3}$ by $\frac{20}{3}$ .

$\frac{2 \cdot 20}{3 \cdot 3}$

Step 6.2

Multiply $2$ by $20$ .

$\frac{40}{3 \cdot 3}$

Step 6.3

Multiply $3$ by $3$ .

$\frac{40}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{40}{9}$

Decimal Form:

$4.\overline{4}$

Mixed Number Form:

$4 \frac{4}{9}$