Solve -1/2+8/3+5=

$$- \frac { 1 } { 2 } + \frac { 8 } { 3 } + 5 =$$

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert -\frac{1}{2} and \frac{8}{3} to fractions with denominator 6.

$$-\frac{3}{6}+\frac{16}{6}+5$$

Since -\frac{3}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{-3+16}{6}+5$$

Add -3 and 16 to get 13.

$$\frac{13}{6}+5$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{13}{6}+\frac{30}{6}$$

Since \frac{13}{6} and \frac{30}{6} have the same denominator, add them by adding their numerators.

$$\frac{13+30}{6}$$

Add 13 and 30 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$