Solve 2(+1/6)+(-4/5)=

$$2 ( + \frac { 1 } { 6 } ) + ( - \frac { 4 } { 5 } ) =$$

Evaluate

$$-\frac{7}{15}\approx -0.466666667$$

Solution Steps

Multiply 2 and \frac{1}{6} to get \frac{2}{6}.

$$\frac{2}{6}-\frac{4}{5}$$

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

$$\frac{1}{3}-\frac{4}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{4}{5} to fractions with denominator 15.

$$\frac{5}{15}-\frac{12}{15}$$

Since \frac{5}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{15}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{15}$$

Factor

$$-\frac{7}{15} = -0.4666666666666667$$