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

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

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

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

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

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

$$\frac{1}{2}-\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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

The opposite of -\frac{1}{3} is \frac{1}{3}.

$$\frac{1}{2}+\frac{1}{3}$$

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

$$\frac{3}{6}+\frac{2}{6}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$