Solve (-5/2+3/7)div2

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

Evaluate

$$-\frac{29}{28}\approx -1.035714286$$

Solution Steps

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

$$\frac{-\frac{35}{14}+\frac{6}{14}}{2}$$

Since -\frac{35}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-35+6}{14}}{2}$$

Add -35 and 6 to get -29.

$$\frac{-\frac{29}{14}}{2}$$

Express \frac{-\frac{29}{14}}{2} as a single fraction.

$$\frac{-29}{14\times 2}$$

Multiply 14 and 2 to get 28.

$$\frac{-29}{28}$$

Fraction \frac{-29}{28} can be rewritten as -\frac{29}{28} by extracting the negative sign.

$$-\frac{29}{28}$$

Factor

$$-\frac{29}{28} = -1\frac{1}{28} = -1.0357142857142858$$