Solve (-5)+1/2+7-7/3=

$$( - 5 ) + \frac { 1 } { 2 } + 7 - \frac { 7 } { 3 } =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Convert -5 to fraction -\frac{10}{2}.

$$-\frac{10}{2}+\frac{1}{2}+7-\frac{7}{3}$$

Since -\frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-10+1}{2}+7-\frac{7}{3}$$

Add -10 and 1 to get -9.

$$-\frac{9}{2}+7-\frac{7}{3}$$

Convert 7 to fraction \frac{14}{2}.

$$-\frac{9}{2}+\frac{14}{2}-\frac{7}{3}$$

Since -\frac{9}{2} and \frac{14}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+14}{2}-\frac{7}{3}$$

Add -9 and 14 to get 5.

$$\frac{5}{2}-\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{15}{6}-\frac{14}{6}$$

Since \frac{15}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{6}$$

Subtract 14 from 15 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$