Solve 4/6-(2/3-1/6)=

$$\frac { 4 } { 6 } - ( \frac { 2 } { 3 } - \frac { 1 } { 6 } ) =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{2}{3}-\left(\frac{4}{6}-\frac{1}{6}\right)$$

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

$$\frac{2}{3}-\frac{4-1}{6}$$

Subtract 1 from 4 to get 3.

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

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

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

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

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

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

Subtract 3 from 4 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$