Solve -5/7--3/8

$$\frac{ -5 }{ 7 } - \frac{ -3 }{ 8 }$$

Evaluate

$$-\frac{19}{56}\approx -0.339285714$$

Solution Steps

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$-\frac{5}{7}-\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$-\frac{5}{7}-\left(-\frac{3}{8}\right)$$

The opposite of -\frac{3}{8} is \frac{3}{8}.

$$-\frac{5}{7}+\frac{3}{8}$$

Least common multiple of 7 and 8 is 56. Convert -\frac{5}{7} and \frac{3}{8} to fractions with denominator 56.

$$-\frac{40}{56}+\frac{21}{56}$$

Since -\frac{40}{56} and \frac{21}{56} have the same denominator, add them by adding their numerators.

$$\frac{-40+21}{56}$$

Add -40 and 21 to get -19.

$$-\frac{19}{56}$$

Factor

$$-\frac{19}{56} = -0.3392857142857143$$