Solve 3/5:(-2/3):3/2=

$$\frac { 3 } { 5 } : ( - \frac { 2 } { 3 } ) : \frac { 3 } { 2 } =$$

Evaluate

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

Solution Steps

Divide \frac{\frac{3}{5}}{-\frac{2}{3}} by \frac{3}{2} by multiplying \frac{\frac{3}{5}}{-\frac{2}{3}} by the reciprocal of \frac{3}{2}.

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

Express \frac{3}{5}\times 2 as a single fraction.

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

Multiply 3 and 2 to get 6.

$$\frac{\frac{6}{5}}{-\frac{2}{3}\times 3}$$

Cancel out 3 and 3.

$$\frac{\frac{6}{5}}{-2}$$

Express \frac{\frac{6}{5}}{-2} as a single fraction.

$$\frac{6}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

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

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

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

Factor

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