Solve (5/2+4/3)-8/3=

$$( \frac { 5 } { 2 } + \frac { 4 } { 3 } ) - \frac { 8 } { 3 } =$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{8}{6}-\frac{8}{3}$$

Since \frac{15}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{6}-\frac{8}{3}$$

Add 15 and 8 to get 23.

$$\frac{23}{6}-\frac{8}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{23}{6} and \frac{8}{3} to fractions with denominator 6.

$$\frac{23}{6}-\frac{16}{6}$$

Since \frac{23}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-16}{6}$$

Subtract 16 from 23 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$