Solve 2/3+3/6-4/2

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

Add 4 and 3 to get 7.

$$\frac{7}{6}-\frac{4}{2}$$

Divide 4 by 2 to get 2.

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

Convert 2 to fraction \frac{12}{6}.

$$\frac{7}{6}-\frac{12}{6}$$

Since \frac{7}{6} and \frac{12}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-12}{6}$$

Subtract 12 from 7 to get -5.

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

Factor

$$-\frac{5}{6} = -0.8333333333333334$$