Solve -3/4-(-7/6)

$$- \frac { 3 } { 4 } - ( - \frac { 7 } { 6 } )$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

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

$$-\frac{3}{4}+\frac{7}{6}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{3}{4} and \frac{7}{6} to fractions with denominator 12.

$$-\frac{9}{12}+\frac{14}{12}$$

Since -\frac{9}{12} and \frac{14}{12} have the same denominator, add them by adding their numerators.

$$\frac{-9+14}{12}$$

Add -9 and 14 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$