Solve -(3/2*4)(1/6:1/2)3/10

$$- ( \frac { 3 } { 2 } \cdot 4 ) ( \frac { 1 } { 6 } : \frac { 1 } { 2 } ) \frac { 3 } { 10 }$$

Evaluate

$$-\frac{3}{5}=-0.6$$

Solution Steps

Express \frac{3}{2}\times 4 as a single fraction.

$$\left(-\frac{3\times 4}{2}\right)\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{3}{10}$$

Multiply 3 and 4 to get 12.

$$\left(-\frac{12}{2}\right)\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{3}{10}$$

Divide 12 by 2 to get 6.

$$-6\times \frac{\frac{1}{6}}{\frac{1}{2}}\times \frac{3}{10}$$

Divide \frac{1}{6} by \frac{1}{2} by multiplying \frac{1}{6} by the reciprocal of \frac{1}{2}.

$$-6\times \frac{1}{6}\times 2\times \frac{3}{10}$$

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

$$-6\times \frac{2}{6}\times \frac{3}{10}$$

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

$$-6\times \frac{1}{3}\times \frac{3}{10}$$

Multiply -6 and \frac{1}{3} to get \frac{-6}{3}.

$$\frac{-6}{3}\times \frac{3}{10}$$

Divide -6 by 3 to get -2.

$$-2\times \frac{3}{10}$$

Express -2\times \frac{3}{10} as a single fraction.

$$\frac{-2\times 3}{10}$$

Multiply -2 and 3 to get -6.

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

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

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

Factor

$$-\frac{3}{5} = -0.6$$