Solve 3-1/3-5/2

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Convert 3 to fraction \frac{9}{3}.

$$\frac{9}{3}-\frac{1}{3}-\frac{5}{2}$$

Since \frac{9}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-1}{3}-\frac{5}{2}$$

Subtract 1 from 9 to get 8.

$$\frac{8}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{16}{6}-\frac{15}{6}$$

Since \frac{16}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{6}$$

Subtract 15 from 16 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$