Solve -7/3+2/5-4/5=

$$- \frac { 7 } { 3 } + \frac { 2 } { 5 } - \frac { 4 } { 5 } =$$

Evaluate

$$-\frac{41}{15}\approx -2.733333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert -\frac{7}{3} and \frac{2}{5} to fractions with denominator 15.

$$-\frac{35}{15}+\frac{6}{15}-\frac{4}{5}$$

Since -\frac{35}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{-35+6}{15}-\frac{4}{5}$$

Add -35 and 6 to get -29.

$$-\frac{29}{15}-\frac{4}{5}$$

Least common multiple of 15 and 5 is 15. Convert -\frac{29}{15} and \frac{4}{5} to fractions with denominator 15.

$$-\frac{29}{15}-\frac{12}{15}$$

Since -\frac{29}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-29-12}{15}$$

Subtract 12 from -29 to get -41.

$$-\frac{41}{15}$$

Factor

$$-\frac{41}{15} = -2\frac{11}{15} = -2.7333333333333334$$