Evaluate 2 1/4÷(3/8)

$2 \frac{1}{4} \div \frac{3}{8}$

Convert $2 \frac{1}{4}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$\frac{2 + \frac{1}{4}}{\frac{3}{8}}$

Add $2$ and $\frac{1}{4}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2 \cdot \frac{4}{4} + \frac{1}{4}}{\frac{3}{8}}$

Combine $2$ and $\frac{4}{4}$ .

$\frac{\frac{2 \cdot 4}{4} + \frac{1}{4}}{\frac{3}{8}}$

Combine the numerators over the common denominator.

$\frac{\frac{2 \cdot 4 + 1}{4}}{\frac{3}{8}}$

Simplify the numerator.

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Multiply $2$ by $4$ .

$\frac{\frac{8 + 1}{4}}{\frac{3}{8}}$

Add $8$ and $1$ .

$\frac{\frac{9}{4}}{\frac{3}{8}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{4} \cdot \frac{8}{3}$

Cancel the common factor of $3$ .

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Factor $3$ out of $9$ .

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

Cancel the common factor.

$\frac{3 \cdot 3}{4} \cdot \frac{8}{3}$

Rewrite the expression.

$\frac{3}{4} \cdot 8$

Cancel the common factor of $4$ .

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Factor $4$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

$3 \cdot 2$

Multiply $3$ by $2$ .

$6$