Divide 5 1/2÷2 1/2

$5 \frac{1}{2} \div 2 \frac{1}{2}$

Step 1

Convert $5 \frac{1}{2}$ to an improper fraction.

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

$(5 + \frac{1}{2}) \div 2 \frac{1}{2}$

Add $5$ and $\frac{1}{2}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Combine $5$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 + 1}{2} \div 2 \frac{1}{2}$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{10 + 1}{2} \div 2 \frac{1}{2}$

Add $10$ and $1$ .

$\frac{11}{2} \div 2 \frac{1}{2}$

Step 2

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

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

$\frac{11}{2} \div (2 + \frac{1}{2})$

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

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

$\frac{11}{2} \div (2 \cdot \frac{2}{2} + \frac{1}{2})$

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

$\frac{11}{2} \div (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{11}{2} \div \frac{2 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{11}{2} \div \frac{4 + 1}{2}$

Add $4$ and $1$ .

$\frac{11}{2} \div \frac{5}{2}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{11}{2} \cdot \frac{2}{5}$

Step 4

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{11}{2} \cdot \frac{2}{5}$

Rewrite the expression.

$11 (\frac{1}{5})$

Step 5

Combine $11$ and $\frac{1}{5}$ .

$\frac{11}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{5}$

Decimal Form:

$2.2$

Mixed Number Form:

$2 \frac{1}{5}$

Divide 5 1/2÷2 1/2

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