Solve -5/3-3/5

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

Evaluate

$$-\frac{34}{15}\approx -2.266666667$$

Solution Steps

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

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

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

$$-\frac{25}{15}-\frac{9}{15}$$

Since -\frac{25}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-9}{15}$$

Subtract 9 from -25 to get -34.

$$-\frac{34}{15}$$

Factor

$$-\frac{34}{15} = -2\frac{4}{15} = -2.2666666666666666$$