Solve -4/35+7/-20

$$\frac { - 4 } { 35 } + \frac { 7 } { - 20 }$$

Evaluate

$$-\frac{13}{28}\approx -0.464285714$$

Solution Steps

Fraction \frac{-4}{35} can be rewritten as -\frac{4}{35} by extracting the negative sign.

$$-\frac{4}{35}+\frac{7}{-20}$$

Fraction \frac{7}{-20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$-\frac{4}{35}-\frac{7}{20}$$

Least common multiple of 35 and 20 is 140. Convert -\frac{4}{35} and \frac{7}{20} to fractions with denominator 140.

$$-\frac{16}{140}-\frac{49}{140}$$

Since -\frac{16}{140} and \frac{49}{140} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16-49}{140}$$

Subtract 49 from -16 to get -65.

$$\frac{-65}{140}$$

Reduce the fraction \frac{-65}{140} to lowest terms by extracting and canceling out 5.

$$-\frac{13}{28}$$

Factor

$$-\frac{13}{28} = -0.4642857142857143$$