Solve -31/3*42/5

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

Evaluate

$$-\frac{44}{3}\approx -14.666666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\left(-\frac{9+1}{3}\right)\times \frac{4\times 5+2}{5}$$

Add 9 and 1 to get 10.

$$-\frac{10}{3}\times \frac{4\times 5+2}{5}$$

Multiply 4 and 5 to get 20.

$$-\frac{10}{3}\times \frac{20+2}{5}$$

Add 20 and 2 to get 22.

$$-\frac{10}{3}\times \frac{22}{5}$$

Multiply -\frac{10}{3} times \frac{22}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\times 22}{3\times 5}$$

Do the multiplications in the fraction \frac{-10\times 22}{3\times 5}.

$$\frac{-220}{15}$$

Reduce the fraction \frac{-220}{15} to lowest terms by extracting and canceling out 5.

$$-\frac{44}{3}$$

Factor

$$-\frac{44}{3} = -14\frac{2}{3} = -14.666666666666666$$