Solve (+2/3)+[-1/5)*(-1/2)+(-1/6

$$( + \frac { 2 } { 3 } ) + [ \frac { - 1 } { 5 } ) \cdot ( - \frac { 1 } { 2 } ) + ( - \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

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

$$\frac{2}{3}-\frac{1}{5}\left(-\frac{1}{2}\right)-\frac{1}{6}$$

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

$$\frac{2}{3}+\frac{-\left(-1\right)}{5\times 2}-\frac{1}{6}$$

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

$$\frac{2}{3}+\frac{1}{10}-\frac{1}{6}$$

Least common multiple of 3 and 10 is 30. Convert \frac{2}{3} and \frac{1}{10} to fractions with denominator 30.

$$\frac{20}{30}+\frac{3}{30}-\frac{1}{6}$$

Since \frac{20}{30} and \frac{3}{30} have the same denominator, add them by adding their numerators.

$$\frac{20+3}{30}-\frac{1}{6}$$

Add 20 and 3 to get 23.

$$\frac{23}{30}-\frac{1}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{23}{30} and \frac{1}{6} to fractions with denominator 30.

$$\frac{23}{30}-\frac{5}{30}$$

Since \frac{23}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-5}{30}$$

Subtract 5 from 23 to get 18.

$$\frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

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

Factor

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