Solve 5/3-2/5/3

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

Evaluate

$$-\frac{2}{9}\approx -0.222222222$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

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

Multiply \frac{5}{3} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{-2}{9}$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$