Solve 1/6+1/2*left(2-2/3right)

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

Evaluate

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

Solution Steps

Convert 2 to fraction \frac{6}{3}.

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

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

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

Subtract 2 from 6 to get 4.

$$\frac{1}{6}+\frac{1}{2}\times \frac{4}{3}$$

Multiply \frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}+\frac{1\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 3}.

$$\frac{1}{6}+\frac{4}{6}$$

Since \frac{1}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+4}{6}$$

Add 1 and 4 to get 5.

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

Factor

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