Solve 1/3-3/1-1/6

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

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Anything divided by one gives itself.

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

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

$$\frac{1}{3}-\frac{9}{3}-\frac{1}{6}$$

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

$$\frac{1-9}{3}-\frac{1}{6}$$

Subtract 9 from 1 to get -8.

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

Least common multiple of 3 and 6 is 6. Convert -\frac{8}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since -\frac{16}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -16 to get -17.

$$-\frac{17}{6}$$

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$