Pre-Algebra Examples

$\frac{20}{3} \div \frac{5}{12}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{20}{3} \cdot \frac{12}{5}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $20$ .

$\frac{5 (4)}{3} \cdot \frac{12}{5}$

Step 2.2

Cancel the common factor.

$\frac{5 \cdot 4}{3} \cdot \frac{12}{5}$

Step 2.3

Rewrite the expression.

$\frac{4}{3} \cdot 12$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $12$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$4 \cdot 4$

Step 4

Multiply $4$ by $4$ .

$16$