Factor 6 2/3+1 5/6

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

Convert $6 \frac{2}{3}$ to an improper fraction.

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

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

Add $6$ and $\frac{2}{3}$ .

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To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Combine $6$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $6$ by $3$ .

$\frac{18 + 2}{3} + 1 \frac{5}{6}$

Add $18$ and $2$ .

$\frac{20}{3} + 1 \frac{5}{6}$

Convert $1 \frac{5}{6}$ to an improper fraction.

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

$\frac{20}{3} + 1 + \frac{5}{6}$

Add $1$ and $\frac{5}{6}$ .

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

$\frac{20}{3} + \frac{6}{6} + \frac{5}{6}$

Combine the numerators over the common denominator.

$\frac{20}{3} + \frac{6 + 5}{6}$

Add $6$ and $5$ .

$\frac{20}{3} + \frac{11}{6}$

To write $\frac{20}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{20}{3} \cdot \frac{2}{2} + \frac{11}{6}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{20}{3}$ and $\frac{2}{2}$ .

$\frac{20 \cdot 2}{3 \cdot 2} + \frac{11}{6}$

Multiply $3$ by $2$ .

$\frac{20 \cdot 2}{6} + \frac{11}{6}$

Combine the numerators over the common denominator.

$\frac{20 \cdot 2 + 11}{6}$

Simplify the numerator.

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Multiply $20$ by $2$ .

$\frac{40 + 11}{6}$

Add $40$ and $11$ .

$\frac{51}{6}$

Cancel the common factor of $51$ and $6$ .

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Factor $3$ out of $51$ .

$\frac{3 (17)}{6}$

Cancel the common factors.

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Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{17}{2}$

Factor 6 2/3+1 5/6

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