Solve -3+2/5-21/3

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

Evaluate

$$-\frac{74}{15}\approx -4.933333333$$

Solution Steps

Convert -3 to fraction -\frac{15}{5}.

$$-\frac{15}{5}+\frac{2}{5}-\frac{2\times 3+1}{3}$$

Since -\frac{15}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{-15+2}{5}-\frac{2\times 3+1}{3}$$

Add -15 and 2 to get -13.

$$-\frac{13}{5}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{13}{5}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{13}{5}-\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{13}{5} and \frac{7}{3} to fractions with denominator 15.

$$-\frac{39}{15}-\frac{35}{15}$$

Since -\frac{39}{15} and \frac{35}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-39-35}{15}$$

Subtract 35 from -39 to get -74.

$$-\frac{74}{15}$$

Factor

$$-\frac{74}{15} = -4\frac{14}{15} = -4.933333333333334$$