Algebra Examples

$\frac{3}{8} \div \frac{5}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{8} \cdot \frac{6}{5}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{3}{2 (4)} \cdot \frac{6}{5}$

Step 2.2

Factor $2$ out of $6$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

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

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

Step 4

Multiply $3$ by $3$ .

$\frac{9}{4 \cdot 5}$

Step 5

Multiply $4$ by $5$ .

$\frac{9}{20}$