Simplify (2 4/7)*(-3 5/6)

$(2 \frac{4}{7}) \cdot (- 3 \frac{5}{6})$

Convert $2 \frac{4}{7}$ to an improper fraction.

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

$(2 + \frac{4}{7}) \cdot (- 3 \frac{5}{6})$

Add $2$ and $\frac{4}{7}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$(2 \cdot \frac{7}{7} + \frac{4}{7}) \cdot (- 3 \frac{5}{6})$

Combine $2$ and $\frac{7}{7}$ .

$(\frac{2 \cdot 7}{7} + \frac{4}{7}) \cdot (- 3 \frac{5}{6})$

Combine the numerators over the common denominator.

$\frac{2 \cdot 7 + 4}{7} \cdot (- 3 \frac{5}{6})$

Simplify the numerator.

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Multiply $2$ by $7$ .

$\frac{14 + 4}{7} \cdot (- 3 \frac{5}{6})$

Add $14$ and $4$ .

$\frac{18}{7} \cdot (- 3 \frac{5}{6})$

Convert $3 \frac{5}{6}$ to an improper fraction.

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

$\frac{18}{7} \cdot (- (3 + \frac{5}{6}))$

Add $3$ and $\frac{5}{6}$ .

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

$\frac{18}{7} \cdot (- (3 \cdot \frac{6}{6} + \frac{5}{6}))$

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

$\frac{18}{7} \cdot (- (\frac{3 \cdot 6}{6} + \frac{5}{6}))$

Combine the numerators over the common denominator.

$\frac{18}{7} \cdot (- \frac{3 \cdot 6 + 5}{6})$

Simplify the numerator.

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Multiply $3$ by $6$ .

$\frac{18}{7} \cdot (- \frac{18 + 5}{6})$

Add $18$ and $5$ .

$\frac{18}{7} \cdot (- \frac{23}{6})$

Cancel the common factor of $6$ .

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Move the leading negative in $- \frac{23}{6}$ into the numerator.

$\frac{18}{7} \cdot \frac{- 23}{6}$

Factor $6$ out of $18$ .

$\frac{6 (3)}{7} \cdot \frac{- 23}{6}$

Cancel the common factor.

$\frac{6 \cdot 3}{7} \cdot \frac{- 23}{6}$

Rewrite the expression.

$\frac{3}{7} \cdot - 23$

Combine $\frac{3}{7}$ and $- 23$ .

$\frac{3 \cdot - 23}{7}$

Simplify the expression.

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Multiply $3$ by $- 23$ .

$\frac{- 69}{7}$

Move the negative in front of the fraction.

$- \frac{69}{7}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{69}{7}$

Decimal Form:

$- 9.\overline{857142}$

Mixed Number Form:

$- 9 \frac{6}{7}$

Simplify (2 4/7)*(-3 5/6)

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