Simplify 88÷2 2/3

$88 \div 2 \frac{2}{3}$

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

$\frac{88}{2 + \frac{2}{3}}$

Cancel the common factor of $88$ and $2 + \frac{2}{3}$ .

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Factor $2$ out of $88$ .

$\frac{2 \cdot 44}{2 + \frac{2}{3}}$

Cancel the common factors.

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Factor $2$ out of $2$ .

$\frac{2 \cdot 44}{2 (1) + \frac{2}{3}}$

Factor $2$ out of $\frac{2}{3}$ .

$\frac{2 \cdot 44}{2 \cdot 1 + 2 (\frac{1}{3})}$

Factor $2$ out of $2 \cdot 1 + 2 (\frac{1}{3})$ .

$\frac{2 \cdot 44}{2 \cdot (1 + \frac{1}{3})}$

Cancel the common factor.

$\frac{2 \cdot 44}{2 \cdot (1 + \frac{1}{3})}$

Rewrite the expression.

$\frac{44}{1 + \frac{1}{3}}$

Simplify the denominator.

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Write $1$ as a fraction with a common denominator.

$\frac{44}{\frac{3}{3} + \frac{1}{3}}$

Combine the numerators over the common denominator.

$\frac{44}{\frac{3 + 1}{3}}$

Add $3$ and $1$ .

$\frac{44}{\frac{4}{3}}$

Multiply the numerator by the reciprocal of the denominator.

$44 (\frac{3}{4})$

Cancel the common factor of $4$ .

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Factor $4$ out of $44$ .

$4 (11) \frac{3}{4}$

Cancel the common factor.

$4 \cdot 11 \frac{3}{4}$

Rewrite the expression.

$11 \cdot 3$

Multiply $11$ by $3$ .

$33$

Simplify 88÷2 2/3