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

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

Evaluate

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

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

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

Since \frac{3}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}\times \frac{3-4}{6}$$

Subtract 4 from 3 to get -1.

$$\frac{1}{3}\left(-\frac{1}{6}\right)$$

Multiply \frac{1}{3} times -\frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 6}.

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

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

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

Factor

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