Solve -1/5+1/3(-2/5)/-3

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

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

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

Multiply \frac{1}{3} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-2\right)}{3\times 5}.

$$\frac{-\frac{1}{5}+\frac{-2}{15}}{-3}$$

Fraction \frac{-2}{15} can be rewritten as -\frac{2}{15} by extracting the negative sign.

$$\frac{-\frac{1}{5}-\frac{2}{15}}{-3}$$

Least common multiple of 5 and 15 is 15. Convert -\frac{1}{5} and \frac{2}{15} to fractions with denominator 15.

$$\frac{-\frac{3}{15}-\frac{2}{15}}{-3}$$

Since -\frac{3}{15} and \frac{2}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-3-2}{15}}{-3}$$

Subtract 2 from -3 to get -5.

$$\frac{\frac{-5}{15}}{-3}$$

Reduce the fraction \frac{-5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{1}{3}}{-3}$$

Express \frac{-\frac{1}{3}}{-3} as a single fraction.

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

Multiply 3 and -3 to get -9.

$$\frac{-1}{-9}$$

Fraction \frac{-1}{-9} can be simplified to \frac{1}{9} by removing the negative sign from both the numerator and the denominator.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$