Finite Math Examples

$\frac{\frac{4}{5}}{\frac{2}{15}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{4}{5} \cdot \frac{15}{2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{5} \cdot \frac{15}{2}$

Step 2.2

Cancel the common factor.

$\frac{2 \cdot 2}{5} \cdot \frac{15}{2}$

Step 2.3

Rewrite the expression.

$\frac{2}{5} \cdot 15$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $15$ .

$\frac{2}{5} \cdot (5 (3))$

Step 3.2

Cancel the common factor.

$\frac{2}{5} \cdot (5 \cdot 3)$

Step 3.3

Rewrite the expression.

$2 \cdot 3$

Step 4

Multiply $2$ by $3$ .

$6$