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

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

Evaluate

$$-\frac{187}{70}\approx -2.671428571$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert \frac{3}{7} and \frac{5}{2} to fractions with denominator 14.

$$\frac{6}{14}-\frac{35}{14}-\frac{3}{5}$$

Since \frac{6}{14} and \frac{35}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-35}{14}-\frac{3}{5}$$

Subtract 35 from 6 to get -29.

$$-\frac{29}{14}-\frac{3}{5}$$

Least common multiple of 14 and 5 is 70. Convert -\frac{29}{14} and \frac{3}{5} to fractions with denominator 70.

$$-\frac{145}{70}-\frac{42}{70}$$

Since -\frac{145}{70} and \frac{42}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-145-42}{70}$$

Subtract 42 from -145 to get -187.

$$-\frac{187}{70}$$

Factor

$$-\frac{187}{70} = -2\frac{47}{70} = -2.6714285714285713$$