Solve 2/3-11/2+(-25/6)

$$\frac { 2 } { 3 } - 1 \frac { 1 } { 2 } + ( - 2 \frac { 5 } { 6 } )$$

Evaluate

$$-\frac{11}{3}\approx -3.666666667$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2}{3}-\frac{2+1}{2}-\frac{2\times 6+5}{6}$$

Add 2 and 1 to get 3.

$$\frac{2}{3}-\frac{3}{2}-\frac{2\times 6+5}{6}$$

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

$$\frac{4}{6}-\frac{9}{6}-\frac{2\times 6+5}{6}$$

Since \frac{4}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-9}{6}-\frac{2\times 6+5}{6}$$

Subtract 9 from 4 to get -5.

$$-\frac{5}{6}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{5}{6}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$-\frac{5}{6}-\frac{17}{6}$$

Since -\frac{5}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-17}{6}$$

Subtract 17 from -5 to get -22.

$$\frac{-22}{6}$$

Reduce the fraction \frac{-22}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{11}{3}$$

Factor

$$-\frac{11}{3} = -3\frac{2}{3} = -3.6666666666666665$$