Solve -(1/3)^2(3/5-1/10)

$$- ( \frac { 1 } { 3 } ) ^ { 2 } ( \frac { 3 } { 5 } - \frac { 1 } { 10 } )$$

Evaluate

$$-\frac{1}{18}\approx -0.055555556$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$-\frac{1}{9}\left(\frac{3}{5}-\frac{1}{10}\right)$$

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{1}{10} to fractions with denominator 10.

$$-\frac{1}{9}\left(\frac{6}{10}-\frac{1}{10}\right)$$

Since \frac{6}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{9}\times \frac{6-1}{10}$$

Subtract 1 from 6 to get 5.

$$-\frac{1}{9}\times \frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{9}\times \frac{1}{2}$$

Multiply -\frac{1}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-1}{9\times 2}$$

Do the multiplications in the fraction \frac{-1}{9\times 2}.

$$\frac{-1}{18}$$

Fraction \frac{-1}{18} can be rewritten as -\frac{1}{18} by extracting the negative sign.

$$-\frac{1}{18}$$

Factor

$$-\frac{1}{18} = -0.05555555555555555$$