Solve 41/6-81/2

$$4 \frac { 1 } { 6 } - 8 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{13}{3}\approx -4.333333333$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+1}{6}-\frac{8\times 2+1}{2}$$

Add 24 and 1 to get 25.

$$\frac{25}{6}-\frac{8\times 2+1}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{25}{6}-\frac{16+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{25}{6}-\frac{17}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{17}{2} to fractions with denominator 6.

$$\frac{25}{6}-\frac{51}{6}$$

Since \frac{25}{6} and \frac{51}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-51}{6}$$

Subtract 51 from 25 to get -26.

$$\frac{-26}{6}$$

Reduce the fraction \frac{-26}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{13}{3}$$

Factor

$$-\frac{13}{3} = -4\frac{1}{3} = -4.333333333333333$$