Solve 7/3-4+5/2-1/6

$$\frac { 7 } { 3 } - 4 + \frac { 5 } { 2 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{7}{3}-\frac{12}{3}+\frac{5}{2}-\frac{1}{6}$$

Since \frac{7}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-12}{3}+\frac{5}{2}-\frac{1}{6}$$

Subtract 12 from 7 to get -5.

$$-\frac{5}{3}+\frac{5}{2}-\frac{1}{6}$$

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

$$-\frac{10}{6}+\frac{15}{6}-\frac{1}{6}$$

Since -\frac{10}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{-10+15}{6}-\frac{1}{6}$$

Add -10 and 15 to get 5.

$$\frac{5}{6}-\frac{1}{6}$$

Since \frac{5}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{6}$$

Subtract 1 from 5 to get 4.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$