Solve -2/5+3/3^2-4-22/3=

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

Evaluate

$$-\frac{37}{15}\approx -2.466666667$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-\frac{2}{5}+\frac{3}{9-4}-\frac{2\times 3+2}{3}$$

Subtract 4 from 9 to get 5.

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

Since -\frac{2}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

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

Add -2 and 3 to get 1.

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

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

$$\frac{1}{5}-\frac{8}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{8}{3} to fractions with denominator 15.

$$\frac{3}{15}-\frac{40}{15}$$

Since \frac{3}{15} and \frac{40}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-40}{15}$$

Subtract 40 from 3 to get -37.

$$-\frac{37}{15}$$

Factor

$$-\frac{37}{15} = -2\frac{7}{15} = -2.466666666666667$$