Solve (-21/2)div(-5)*(-31/3)=

$$( - 2 \frac { 1 } { 2 } ) \div ( - 5 ) \times ( - 3 \frac { 1 } { 3 } ) =$$

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Express \frac{-\frac{5}{2}}{-5} as a single fraction.

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

Cancel out -5 in both numerator and denominator.

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

Multiply 3 and 3 to get 9.

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

Add 9 and 1 to get 10.

$$\frac{1}{2}\left(-\frac{10}{3}\right)$$

Multiply \frac{1}{2} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-10\right)}{2\times 3}$$

Do the multiplications in the fraction \frac{1\left(-10\right)}{2\times 3}.

$$\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$