Divide 3 3/4÷2 1/2

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

Convert $3 \frac{3}{4}$ to an improper fraction.

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

$(3 + \frac{3}{4}) \div 2 \frac{1}{2}$

Add $3$ and $\frac{3}{4}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(3 \cdot \frac{4}{4} + \frac{3}{4}) \div 2 \frac{1}{2}$

Combine $3$ and $\frac{4}{4}$ .

$(\frac{3 \cdot 4}{4} + \frac{3}{4}) \div 2 \frac{1}{2}$

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{12 + 3}{4} \div 2 \frac{1}{2}$

Add $12$ and $3$ .

$\frac{15}{4} \div 2 \frac{1}{2}$

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

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

$\frac{15}{4} \div (2 + \frac{1}{2})$

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

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

$\frac{15}{4} \div (2 \cdot \frac{2}{2} + \frac{1}{2})$

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

$\frac{15}{4} \div (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{15}{4} \div \frac{2 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{15}{4} \div \frac{4 + 1}{2}$

Add $4$ and $1$ .

$\frac{15}{4} \div \frac{5}{2}$

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{4} \cdot \frac{2}{5}$

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$\frac{5 (3)}{4} \cdot \frac{2}{5}$

Cancel the common factor.

$\frac{5 \cdot 3}{4} \cdot \frac{2}{5}$

Rewrite the expression.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

Divide 3 3/4÷2 1/2

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