Divide 2 5/6÷3 3/4

$2 \frac{5}{6} \div 3 \frac{3}{4}$

Convert $2 \frac{5}{6}$ to an improper fraction.

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

$(2 + \frac{5}{6}) \div 3 \frac{3}{4}$

Add $2$ and $\frac{5}{6}$ .

To write $2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$(2 \cdot \frac{6}{6} + \frac{5}{6}) \div 3 \frac{3}{4}$

Combine $2$ and $\frac{6}{6}$ .

$(\frac{2 \cdot 6}{6} + \frac{5}{6}) \div 3 \frac{3}{4}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 6 + 5}{6} \div 3 \frac{3}{4}$

Simplify the numerator.

Multiply $2$ by $6$ .

$\frac{12 + 5}{6} \div 3 \frac{3}{4}$

Add $12$ and $5$ .

$\frac{17}{6} \div 3 \frac{3}{4}$

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

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

$\frac{17}{6} \div (3 + \frac{3}{4})$

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

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

$\frac{17}{6} \div (3 \cdot \frac{4}{4} + \frac{3}{4})$

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

$\frac{17}{6} \div (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Combine the numerators over the common denominator.

$\frac{17}{6} \div \frac{3 \cdot 4 + 3}{4}$

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{17}{6} \div \frac{12 + 3}{4}$

Add $12$ and $3$ .

$\frac{17}{6} \div \frac{15}{4}$

To divide by a fraction, multiply by its reciprocal.

$\frac{17}{6} \cdot \frac{4}{15}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{17}{2 (3)} \cdot \frac{4}{15}$

Factor $2$ out of $4$ .

$\frac{17}{2 \cdot 3} \cdot \frac{2 \cdot 2}{15}$

Cancel the common factor.

$\frac{17}{2 \cdot 3} \cdot \frac{2 \cdot 2}{15}$

Rewrite the expression.

$\frac{17}{3} \cdot \frac{2}{15}$

Multiply $\frac{17}{3}$ by $\frac{2}{15}$ .

$\frac{17 \cdot 2}{3 \cdot 15}$

Multiply $17$ by $2$ .

$\frac{34}{3 \cdot 15}$

Multiply $3$ by $15$ .

$\frac{34}{45}$

The result can be shown in multiple forms.

Exact Form:

$\frac{34}{45}$

Decimal Form:

$0.7\overline{5}$

Divide 2 5/6÷3 3/4

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