Solve 1/2-41/6)*(-11/2)=

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

Evaluate

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

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{1}{2}-\frac{24+1}{6}$$

Add 24 and 1 to get 25.

$$\frac{1}{2}-\frac{25}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{25}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{25}{6}$$

Since \frac{3}{6} and \frac{25}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-25}{6}$$

Subtract 25 from 3 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

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