Solve -8/5+8/-7

$$\frac { - 8 } { 5 } + \frac { 8 } { - 7 }$$

Evaluate

$$-\frac{96}{35}\approx -2.742857143$$

Solution Steps

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$-\frac{8}{5}+\frac{8}{-7}$$

Fraction \frac{8}{-7} can be rewritten as -\frac{8}{7} by extracting the negative sign.

$$-\frac{8}{5}-\frac{8}{7}$$

Least common multiple of 5 and 7 is 35. Convert -\frac{8}{5} and \frac{8}{7} to fractions with denominator 35.

$$-\frac{56}{35}-\frac{40}{35}$$

Since -\frac{56}{35} and \frac{40}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-56-40}{35}$$

Subtract 40 from -56 to get -96.

$$-\frac{96}{35}$$

Factor

$$-\frac{96}{35} = -2\frac{26}{35} = -2.742857142857143$$