Divide 8 1/2÷2 1/4

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

Convert $8 \frac{1}{2}$ to an improper fraction.

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

$(8 + \frac{1}{2}) \div 2 \frac{1}{4}$

Add $8$ and $\frac{1}{2}$ .

To write $8$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(8 \cdot \frac{2}{2} + \frac{1}{2}) \div 2 \frac{1}{4}$

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

$(\frac{8 \cdot 2}{2} + \frac{1}{2}) \div 2 \frac{1}{4}$

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $8$ by $2$ .

$\frac{16 + 1}{2} \div 2 \frac{1}{4}$

Add $16$ and $1$ .

$\frac{17}{2} \div 2 \frac{1}{4}$

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

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

$\frac{17}{2} \div (2 + \frac{1}{4})$

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

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

$\frac{17}{2} \div (2 \cdot \frac{4}{4} + \frac{1}{4})$

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

$\frac{17}{2} \div (\frac{2 \cdot 4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$\frac{17}{2} \div \frac{2 \cdot 4 + 1}{4}$

Simplify the numerator.

Multiply $2$ by $4$ .

$\frac{17}{2} \div \frac{8 + 1}{4}$

Add $8$ and $1$ .

$\frac{17}{2} \div \frac{9}{4}$

To divide by a fraction, multiply by its reciprocal.

$\frac{17}{2} \cdot \frac{4}{9}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{17}{2} \cdot \frac{2 (2)}{9}$

Cancel the common factor.

$\frac{17}{2} \cdot \frac{2 \cdot 2}{9}$

Rewrite the expression.

$17 (\frac{2}{9})$

Combine $17$ and $\frac{2}{9}$ .

$\frac{17 \cdot 2}{9}$

Multiply $17$ by $2$ .

$\frac{34}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{34}{9}$

Decimal Form:

$3.\overline{7}$

Mixed Number Form:

$3 \frac{7}{9}$

Divide 8 1/2÷2 1/4

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