Simplify 2 1/2/2 1/3

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $2$ .

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

Add $4$ and $1$ .

$\frac{\frac{5}{2}}{2 \frac{1}{3}}$

Convert $2 \frac{1}{3}$ to an improper fraction.

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

$\frac{\frac{5}{2}}{2 + \frac{1}{3}}$

Add $2$ and $\frac{1}{3}$ .

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

$\frac{\frac{5}{2}}{2 \cdot \frac{3}{3} + \frac{1}{3}}$

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

$\frac{\frac{5}{2}}{\frac{2 \cdot 3}{3} + \frac{1}{3}}$

Combine the numerators over the common denominator.

$\frac{\frac{5}{2}}{\frac{2 \cdot 3 + 1}{3}}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{\frac{5}{2}}{\frac{6 + 1}{3}}$

Add $6$ and $1$ .

$\frac{\frac{5}{2}}{\frac{7}{3}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{2} \cdot \frac{3}{7}$

Multiply $\frac{5}{2} \cdot \frac{3}{7}$ .

Multiply $\frac{5}{2}$ by $\frac{3}{7}$ .

$\frac{5 \cdot 3}{2 \cdot 7}$

Multiply $5$ by $3$ .

$\frac{15}{2 \cdot 7}$

Multiply $2$ by $7$ .

$\frac{15}{14}$

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{14}$

Decimal Form:

$1.07142857 \dots$

Mixed Number Form:

$1 \frac{1}{14}$

Simplify 2 1/2/2 1/3

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