Solve 38/2-4/8+2/3

$$\frac { 38 } { 2 } - \frac { 4 } { 8 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{115}{6}\approx 19.166666667$$

Solution Steps

Divide 38 by 2 to get 19.

$$19-\frac{4}{8}+\frac{2}{3}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$19-\frac{1}{2}+\frac{2}{3}$$

Convert 19 to fraction \frac{38}{2}.

$$\frac{38}{2}-\frac{1}{2}+\frac{2}{3}$$

Since \frac{38}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-1}{2}+\frac{2}{3}$$

Subtract 1 from 38 to get 37.

$$\frac{37}{2}+\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{37}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{111}{6}+\frac{4}{6}$$

Since \frac{111}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{111+4}{6}$$

Add 111 and 4 to get 115.

$$\frac{115}{6}$$

Factor

$$\frac{5 \cdot 23}{2 \cdot 3} = 19\frac{1}{6} = 19.166666666666668$$