Solve for a (3/8)÷(13/12)=3/8*a/b

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

Rewrite the equation as $\frac{3}{8} \cdot \frac{a}{b} = \frac{3}{8} \div \frac{13}{12}$ .

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

Multiply both sides of the equation by $\frac{8}{3}$ .

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

Simplify both sides of the equation.

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Simplify $\frac{8}{3} \cdot \frac{3}{8} \cdot \frac{a}{b}$ .

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Cancel the common factor of $8$ .

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Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3} \cdot 3 \cdot \frac{a}{b} = \frac{8}{3} \cdot (\frac{3}{8}) \div \frac{13}{12}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{1}{3} \cdot 3 \cdot \frac{a}{b} = \frac{8}{3} \cdot (\frac{3}{8}) \div \frac{13}{12}$

Rewrite the expression.

$1 \cdot \frac{a}{b} = \frac{8}{3} \cdot (\frac{3}{8}) \div \frac{13}{12}$

Multiply $\frac{a}{b}$ by $1$ .

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

Simplify $\frac{8}{3} \cdot (\frac{3}{8}) \div \frac{13}{12}$ .

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To divide by a fraction, multiply by its reciprocal.

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

Cancel the common factor of $8$ .

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Cancel the common factor.

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

Rewrite the expression.

$\frac{a}{b} = \frac{1}{3} \cdot 3 \frac{12}{13}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{a}{b} = \frac{1}{3} \cdot 3 \frac{12}{13}$

Rewrite the expression.

$\frac{a}{b} = 1 (\frac{12}{13})$

Multiply $\frac{12}{13}$ by $1$ .

$\frac{a}{b} = \frac{12}{13}$

Multiply both sides of the equation by $b$ .

$a = \frac{12}{13} (b)$

Combine $\frac{12}{13}$ and $b$ .

$a = \frac{12 b}{13}$

Solve for a (3/8)÷(13/12)=3/8*a/b

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