Solve 8/3+3/2-6/4

$$\frac { 8 } { 3 } + \frac { 3 } { 2 } - \frac { 6 } { 4 }$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

$$\frac{16}{6}+\frac{9}{6}-\frac{6}{4}$$

Since \frac{16}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{16+9}{6}-\frac{6}{4}$$

Add 16 and 9 to get 25.

$$\frac{25}{6}-\frac{6}{4}$$

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

$$\frac{25}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{25}{6}-\frac{9}{6}$$

Since \frac{25}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-9}{6}$$

Subtract 9 from 25 to get 16.

$$\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$