Solve 1/3-5/2-6

$$\frac{ 1 }{ 3 } - \frac{ 5 }{ 2 } -6$$

Evaluate

$$-\frac{49}{6}\approx -8.166666667$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{2}{6}-\frac{15}{6}-6$$

Since \frac{2}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{6}-6$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{6}-6$$

Convert 6 to fraction \frac{36}{6}.

$$-\frac{13}{6}-\frac{36}{6}$$

Since -\frac{13}{6} and \frac{36}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-36}{6}$$

Subtract 36 from -13 to get -49.

$$-\frac{49}{6}$$

Factor

$$-\frac{49}{6} = -8\frac{1}{6} = -8.166666666666666$$