Solve -3/11*(-2/15)*71/3*(-6)*40

$$- \frac{ 3 }{ 11 } \times (- \frac{ 2 }{ 15 } ) \times 7 \frac{ 1 }{ 3 } \times (-6) \times 40$$

Evaluate

$$-64$$

Solution Steps

Multiply -\frac{3}{11} times -\frac{2}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-2\right)}{11\times 15}\times \frac{7\times 3+1}{3}\left(-6\right)\times 40$$

Do the multiplications in the fraction \frac{-3\left(-2\right)}{11\times 15}.

$$\frac{6}{165}\times \frac{7\times 3+1}{3}\left(-6\right)\times 40$$

Reduce the fraction \frac{6}{165} to lowest terms by extracting and canceling out 3.

$$\frac{2}{55}\times \frac{7\times 3+1}{3}\left(-6\right)\times 40$$

Multiply 7 and 3 to get 21.

$$\frac{2}{55}\times \frac{21+1}{3}\left(-6\right)\times 40$$

Add 21 and 1 to get 22.

$$\frac{2}{55}\times \frac{22}{3}\left(-6\right)\times 40$$

Multiply \frac{2}{55} times \frac{22}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 22}{55\times 3}\left(-6\right)\times 40$$

Do the multiplications in the fraction \frac{2\times 22}{55\times 3}.

$$\frac{44}{165}\left(-6\right)\times 40$$

Reduce the fraction \frac{44}{165} to lowest terms by extracting and canceling out 11.

$$\frac{4}{15}\left(-6\right)\times 40$$

Express \frac{4}{15}\left(-6\right) as a single fraction.

$$\frac{4\left(-6\right)}{15}\times 40$$

Multiply 4 and -6 to get -24.

$$\frac{-24}{15}\times 40$$

Reduce the fraction \frac{-24}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{8}{5}\times 40$$

Express -\frac{8}{5}\times 40 as a single fraction.

$$\frac{-8\times 40}{5}$$

Multiply -8 and 40 to get -320.

$$\frac{-320}{5}$$

Divide -320 by 5 to get -64.

$$-64$$

Factor

$$-64$$