Algebra Examples

\frac{5}{12} \div \frac{3}{8}

$\frac{5}{12} \div \frac{3}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{5}{12} \cdot \frac{8}{3}

$\frac{5}{12} \cdot \frac{8}{3}$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

12

$12$ .

\frac{5}{4 (3)} \cdot \frac{8}{3}

$\frac{5}{4 (3)} \cdot \frac{8}{3}$

Step 2.2

Factor

4

$4$ out of

8

$8$ .

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

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Multiply

$\frac{5}{3}$ by

$\frac{2}{3}$ .

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

Step 4

Multiply

$5$ by

$2$ .

$\frac{10}{3 \cdot 3}$

Step 5

Multiply

$3$ by

$3$ .

$\frac{10}{9}$