# Calculate: -6 /(4) 5 / (2 /(1) 3) =

## Expression: $$- 6 \frac { 4 } { 5 } \div ( 2 \frac { 1 } { 3 } ) =$$

Multiply $6$ and $5$ to get $30$.

$$\frac{-\frac{30+4}{5}}{\frac{2\times 3+1}{3}}$$

Add $30$ and $4$ to get $34$.

$$\frac{-\frac{34}{5}}{\frac{2\times 3+1}{3}}$$

Multiply $2$ and $3$ to get $6$.

$$\frac{-\frac{34}{5}}{\frac{6+1}{3}}$$

Add $6$ and $1$ to get $7$.

$$\frac{-\frac{34}{5}}{\frac{7}{3}}$$

Divide $-\frac{34}{5}$ by $\frac{7}{3}$ by multiplying $-\frac{34}{5}$ by the reciprocal of $\frac{7}{3}$.

$$-\frac{34}{5}\times \left(\frac{3}{7}\right)$$

Multiply $-\frac{34}{5}$ times $\frac{3}{7}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-34\times 3}{5\times 7}$$

Do the multiplications in the fraction $\frac{-34\times 3}{5\times 7}$.

$$\frac{-102}{35}$$

Fraction $\frac{-102}{35}$ can be rewritten as $-\frac{102}{35}$ by extracting the negative sign.

$$-\frac{102}{35}$$

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