Solve -27/3+9/2+6+8/3

$$- \frac { 27 } { 3 } + \frac { 9 } { 2 } + 6 + \frac { 8 } { 3 }$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Divide 27 by 3 to get 9.

$$-9+\frac{9}{2}+6+\frac{8}{3}$$

Convert -9 to fraction -\frac{18}{2}.

$$-\frac{18}{2}+\frac{9}{2}+6+\frac{8}{3}$$

Since -\frac{18}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.

$$\frac{-18+9}{2}+6+\frac{8}{3}$$

Add -18 and 9 to get -9.

$$-\frac{9}{2}+6+\frac{8}{3}$$

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

$$-\frac{9}{2}+\frac{12}{2}+\frac{8}{3}$$

Since -\frac{9}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+12}{2}+\frac{8}{3}$$

Add -9 and 12 to get 3.

$$\frac{3}{2}+\frac{8}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{16}{6}$$

Since \frac{9}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+16}{6}$$

Add 9 and 16 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$