Algebra Examples

$\frac{3}{8} \div \frac{13}{12}$ and $\frac{3}{8} \cdot \frac{a}{b}$

Step 1

Multiply the expressions.

$\frac{3}{8} \div \frac{13}{12} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{8} \cdot \frac{12}{13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $8$ .

$\frac{3}{4 (2)} \cdot \frac{12}{13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 3.2

Factor $4$ out of $12$ .

$\frac{3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 3.3

Cancel the common factor.

$\frac{3}{4 \cdot 2} \cdot \frac{4 \cdot 3}{13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 3.4

Rewrite the expression.

$\frac{3}{2} \cdot \frac{3}{13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 4

Multiply $\frac{3}{2}$ by $\frac{3}{13}$ .

$\frac{3 \cdot 3}{2 \cdot 13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 5

Multiply.

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Step 5.1

Multiply $3$ by $3$ .

$\frac{9}{2 \cdot 13} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 5.2

Multiply $2$ by $13$ .

$\frac{9}{26} \cdot \frac{3}{8} \cdot \frac{a}{b}$

Step 6

Multiply $\frac{9}{26} \cdot \frac{3}{8}$ .

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Step 6.1

Multiply $\frac{9}{26}$ by $\frac{3}{8}$ .

$\frac{9 \cdot 3}{26 \cdot 8} \cdot \frac{a}{b}$

Step 6.2

Multiply $9$ by $3$ .

$\frac{27}{26 \cdot 8} \cdot \frac{a}{b}$

Step 6.3

Multiply $26$ by $8$ .

$\frac{27}{208} \cdot \frac{a}{b}$

Step 7

Multiply $\frac{27}{208}$ by $\frac{a}{b}$ .

$\frac{27 a}{208 b}$