Solve 7/3-32/5+1/2=

$$\frac { 7 } { 3 } - 3 \frac { 2 } { 5 } + \frac { 1 } { 2 } =$$

Evaluate

$$-\frac{17}{30}\approx -0.566666667$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{7}{3}-\frac{15+2}{5}+\frac{1}{2}$$

Add 15 and 2 to get 17.

$$\frac{7}{3}-\frac{17}{5}+\frac{1}{2}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{17}{5} to fractions with denominator 15.

$$\frac{35}{15}-\frac{51}{15}+\frac{1}{2}$$

Since \frac{35}{15} and \frac{51}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-51}{15}+\frac{1}{2}$$

Subtract 51 from 35 to get -16.

$$-\frac{16}{15}+\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert -\frac{16}{15} and \frac{1}{2} to fractions with denominator 30.

$$-\frac{32}{30}+\frac{15}{30}$$

Since -\frac{32}{30} and \frac{15}{30} have the same denominator, add them by adding their numerators.

$$\frac{-32+15}{30}$$

Add -32 and 15 to get -17.

$$-\frac{17}{30}$$

Factor

$$-\frac{17}{30} = -0.5666666666666667$$