Solve (1/2-7/6+2)

$$( \frac { 1 } { 2 } - \frac { 7 } { 6 } + 2 )$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{7}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{7}{6}+2$$

Since \frac{3}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-7}{6}+2$$

Subtract 7 from 3 to get -4.

$$\frac{-4}{6}+2$$

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

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

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

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

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

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

Add -2 and 6 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$