Solve =-3/5-(-5/8)

$$= \frac { - 3 } { 5 } - ( \frac { - 5 } { 8 } )$$

Evaluate

$$\frac{1}{40}=0.025$$

Solution Steps

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

$$-\frac{3}{5}-\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$-\frac{3}{5}-\left(-\frac{5}{8}\right)$$

The opposite of -\frac{5}{8} is \frac{5}{8}.

$$-\frac{3}{5}+\frac{5}{8}$$

Least common multiple of 5 and 8 is 40. Convert -\frac{3}{5} and \frac{5}{8} to fractions with denominator 40.

$$-\frac{24}{40}+\frac{25}{40}$$

Since -\frac{24}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.

$$\frac{-24+25}{40}$$

Add -24 and 25 to get 1.

$$\frac{1}{40}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5} = 0.025$$