Solve -2+11/3-4/5

$$- 2 + 1 \frac { 1 } { 3 } - \frac { 4 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 1 and 3 to get 3.

$$-2+\frac{3+1}{3}-\frac{4}{5}$$

Add 3 and 1 to get 4.

$$-2+\frac{4}{3}-\frac{4}{5}$$

Convert -2 to fraction -\frac{6}{3}.

$$-\frac{6}{3}+\frac{4}{3}-\frac{4}{5}$$

Since -\frac{6}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{-6+4}{3}-\frac{4}{5}$$

Add -6 and 4 to get -2.

$$-\frac{2}{3}-\frac{4}{5}$$

Least common multiple of 3 and 5 is 15. Convert -\frac{2}{3} and \frac{4}{5} to fractions with denominator 15.

$$-\frac{10}{15}-\frac{12}{15}$$

Since -\frac{10}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-12}{15}$$

Subtract 12 from -10 to get -22.

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

Factor

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