Solve -4-2/5+-12-1/4

$$\frac{ -4-2 }{ 5 } + \frac{ -12-1 }{ 4 }$$

Evaluate

$$-\frac{89}{20}=-4.45$$

Solution Steps

Subtract 2 from -4 to get -6.

$$\frac{-6}{5}+\frac{-12-1}{4}$$

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$-\frac{6}{5}+\frac{-12-1}{4}$$

Subtract 1 from -12 to get -13.

$$-\frac{6}{5}+\frac{-13}{4}$$

Fraction \frac{-13}{4} can be rewritten as -\frac{13}{4} by extracting the negative sign.

$$-\frac{6}{5}-\frac{13}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{6}{5} and \frac{13}{4} to fractions with denominator 20.

$$-\frac{24}{20}-\frac{65}{20}$$

Since -\frac{24}{20} and \frac{65}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-24-65}{20}$$

Subtract 65 from -24 to get -89.

$$-\frac{89}{20}$$

Factor

$$-\frac{89}{20} = -4\frac{9}{20} = -4.45$$