Solve 3/2+8/3-1/6

$$\frac { 3 } { 2 } + \frac { 8 } { 3 } - \frac { 1 } { 6 }$$

Evaluate

$$4$$

Solution Steps

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

$$\frac{9}{6}+\frac{16}{6}-\frac{1}{6}$$

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

$$\frac{9+16}{6}-\frac{1}{6}$$

Add 9 and 16 to get 25.

$$\frac{25}{6}-\frac{1}{6}$$

Since \frac{25}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-1}{6}$$

Subtract 1 from 25 to get 24.

$$\frac{24}{6}$$

Divide 24 by 6 to get 4.

$$4$$

Factor

$$2^{2}$$