Algebra Examples

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

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

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

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

8

$8$ .

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

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

Step 2.2

Factor

2

$2$ out of

6

$6$ .

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

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

Step 2.3

Cancel the common factor.

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

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

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

$5$ .

$\frac{9}{20}$