Solve (-3/5)-(-2/3)+(-7/2)=

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

Evaluate

$$-\frac{103}{30}\approx -3.433333333$$

Solution Steps

The opposite of -\frac{2}{3} is \frac{2}{3}.

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

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

$$-\frac{9}{15}+\frac{10}{15}-\frac{7}{2}$$

Since -\frac{9}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{-9+10}{15}-\frac{7}{2}$$

Add -9 and 10 to get 1.

$$\frac{1}{15}-\frac{7}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{1}{15} and \frac{7}{2} to fractions with denominator 30.

$$\frac{2}{30}-\frac{105}{30}$$

Since \frac{2}{30} and \frac{105}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-105}{30}$$

Subtract 105 from 2 to get -103.

$$-\frac{103}{30}$$

Factor

$$-\frac{103}{30} = -3\frac{13}{30} = -3.433333333333333$$