Solve 1/5+-10^/6

$$\frac{ 1 }{ 5 } + \frac{ - { 10 }^{ } }{ 6 }$$

Evaluate

$$-\frac{22}{15}\approx -1.466666667$$

Solution Steps

Calculate 10 to the power of 1 and get 10.

$$\frac{1}{5}+\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{3}{15}-\frac{25}{15}$$

Since \frac{3}{15} and \frac{25}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-25}{15}$$

Subtract 25 from 3 to get -22.

$$-\frac{22}{15}$$

Factor

$$-\frac{22}{15} = -1\frac{7}{15} = -1.4666666666666666$$