Evaluate 2 1/3÷(2/5)

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $2$ by $3$ .

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

Add $6$ and $1$ .

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

Multiply the numerator by the reciprocal of the denominator.

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

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

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

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

Multiply $7$ by $5$ .

$\frac{35}{3 \cdot 2}$

Multiply $3$ by $2$ .

$\frac{35}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{6}$

Decimal Form:

$5.8\overline{3}$

Mixed Number Form:

$5 \frac{5}{6}$