Multiply 2 1/4*5 2/6

$2 \frac{1}{4} \cdot 5 \frac{2}{6}$

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.

$(2 + \frac{1}{4}) \cdot 5 \frac{2}{6}$

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

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

$(2 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 5 \frac{2}{6}$

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

$(\frac{2 \cdot 4}{4} + \frac{1}{4}) \cdot 5 \frac{2}{6}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 1}{4} \cdot 5 \frac{2}{6}$

Simplify the numerator.

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Multiply $2$ by $4$ .

$\frac{8 + 1}{4} \cdot 5 \frac{2}{6}$

Add $8$ and $1$ .

$\frac{9}{4} \cdot 5 \frac{2}{6}$

Convert $5 \frac{2}{6}$ to an improper fraction.

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

$\frac{9}{4} \cdot (5 + \frac{2}{6})$

Add $5$ and $\frac{2}{6}$ .

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To write $5$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{9}{4} \cdot (5 \cdot \frac{6}{6} + \frac{2}{6})$

Combine $5$ and $\frac{6}{6}$ .

$\frac{9}{4} \cdot (\frac{5 \cdot 6}{6} + \frac{2}{6})$

Combine the numerators over the common denominator.

$\frac{9}{4} \cdot \frac{5 \cdot 6 + 2}{6}$

Simplify the numerator.

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Multiply $5$ by $6$ .

$\frac{9}{4} \cdot \frac{30 + 2}{6}$

Add $30$ and $2$ .

$\frac{9}{4} \cdot \frac{32}{6}$

Cancel the common factor of $3$ .

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Factor $3$ out of $9$ .

$\frac{3 (3)}{4} \cdot \frac{32}{6}$

Factor $3$ out of $6$ .

$\frac{3 \cdot 3}{4} \cdot \frac{32}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot 3}{4} \cdot \frac{32}{3 \cdot 2}$

Rewrite the expression.

$\frac{3}{4} \cdot \frac{32}{2}$

Cancel the common factor of $4$ .

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Factor $4$ out of $32$ .

$\frac{3}{4} \cdot \frac{4 (8)}{2}$

Cancel the common factor.

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

Rewrite the expression.

$3 \cdot \frac{8}{2}$

Combine $3$ and $\frac{8}{2}$ .

$\frac{3 \cdot 8}{2}$

Simplify the expression.

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Multiply $3$ by $8$ .

$\frac{24}{2}$

Divide $24$ by $2$ .

$12$

Multiply 2 1/4*5 2/6

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