Solve (-5/8)div(-3/10)*(-11/3)=

$$( - \frac { 5 } { 8 } ) \div ( - \frac { 3 } { 10 } ) \times ( - 1 \frac { 1 } { 3 } ) =$$

Evaluate

$$-\frac{25}{9}\approx -2.777777778$$

Solution Steps

Divide -\frac{5}{8} by -\frac{3}{10} by multiplying -\frac{5}{8} by the reciprocal of -\frac{3}{10}.

$$-\frac{5}{8}\left(-\frac{10}{3}\right)\left(-\frac{3+1}{3}\right)$$

Multiply -\frac{5}{8} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-10\right)}{8\times 3}\left(-\frac{1\times 3+1}{3}\right)$$

Do the multiplications in the fraction \frac{-5\left(-10\right)}{8\times 3}.

$$\frac{50}{24}\left(-\frac{1\times 3+1}{3}\right)$$

Reduce the fraction \frac{50}{24} to lowest terms by extracting and canceling out 2.

$$\frac{25}{12}\left(-\frac{1\times 3+1}{3}\right)$$

Multiply 1 and 3 to get 3.

$$\frac{25}{12}\left(-\frac{3+1}{3}\right)$$

Add 3 and 1 to get 4.

$$\frac{25}{12}\left(-\frac{4}{3}\right)$$

Multiply \frac{25}{12} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-4\right)}{12\times 3}$$

Do the multiplications in the fraction \frac{25\left(-4\right)}{12\times 3}.

$$\frac{-100}{36}$$

Reduce the fraction \frac{-100}{36} to lowest terms by extracting and canceling out 4.

$$-\frac{25}{9}$$

Factor

$$-\frac{25}{9} = -2\frac{7}{9} = -2.7777777777777777$$