Solve -2/-3+3/-5

$$\frac { - 2 } { - 3 } + \frac { 3 } { - 5 }$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

$$\frac{2}{3}+\frac{3}{-5}$$

Fraction \frac{3}{-5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$\frac{2}{3}-\frac{3}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{3}{5} to fractions with denominator 15.

$$\frac{10}{15}-\frac{9}{15}$$

Since \frac{10}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-9}{15}$$

Subtract 9 from 10 to get 1.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$