Divide 2 1/2÷2 2/3

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

Step 1

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $2$ .

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

Add $4$ and $1$ .

$\frac{5}{2} \div 2 \frac{2}{3}$

Step 2

Convert $2 \frac{2}{3}$ to an improper fraction.

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

$\frac{5}{2} \div (2 + \frac{2}{3})$

Add $2$ and $\frac{2}{3}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{2} \div (2 \cdot \frac{3}{3} + \frac{2}{3})$

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

$\frac{5}{2} \div (\frac{2 \cdot 3}{3} + \frac{2}{3})$

Combine the numerators over the common denominator.

$\frac{5}{2} \div \frac{2 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{5}{2} \div \frac{6 + 2}{3}$

Add $6$ and $2$ .

$\frac{5}{2} \div \frac{8}{3}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{2} \cdot \frac{3}{8}$

Step 4

Multiply $\frac{5}{2} \cdot \frac{3}{8}$ .

Multiply $\frac{5}{2}$ by $\frac{3}{8}$ .

$\frac{5 \cdot 3}{2 \cdot 8}$

Multiply $5$ by $3$ .

$\frac{15}{2 \cdot 8}$

Multiply $2$ by $8$ .

$\frac{15}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{16}$

Decimal Form:

$0.9375$

Divide 2 1/2÷2 2/3

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