Solve -5/7+4/-5

$$\frac { - 5 } { 7 } + \frac { 4 } { - 5 }$$

Evaluate

$$-\frac{53}{35}\approx -1.514285714$$

Solution Steps

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$-\frac{5}{7}+\frac{4}{-5}$$

Fraction \frac{4}{-5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$-\frac{5}{7}-\frac{4}{5}$$

Least common multiple of 7 and 5 is 35. Convert -\frac{5}{7} and \frac{4}{5} to fractions with denominator 35.

$$-\frac{25}{35}-\frac{28}{35}$$

Since -\frac{25}{35} and \frac{28}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-28}{35}$$

Subtract 28 from -25 to get -53.

$$-\frac{53}{35}$$

Factor

$$-\frac{53}{35} = -1\frac{18}{35} = -1.5142857142857142$$