Solve 5/-4--7/6

$$\frac { 5 } { - 4 } - \frac { - 7 } { 6 }$$

Evaluate

$$-\frac{1}{12}\approx -0.083333333$$

Solution Steps

Fraction \frac{5}{-4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-\frac{5}{4}-\frac{-7}{6}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$-\frac{5}{4}-\left(-\frac{7}{6}\right)$$

The opposite of -\frac{7}{6} is \frac{7}{6}.

$$-\frac{5}{4}+\frac{7}{6}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{5}{4} and \frac{7}{6} to fractions with denominator 12.

$$-\frac{15}{12}+\frac{14}{12}$$

Since -\frac{15}{12} and \frac{14}{12} have the same denominator, add them by adding their numerators.

$$\frac{-15+14}{12}$$

Add -15 and 14 to get -1.

$$-\frac{1}{12}$$

Factor

$$-\frac{1}{12} = -0.08333333333333333$$