Solve -7/12-(-2/3)

$$- \frac{ 7 }{ 12 } -(- \frac{ 2 }{ 3 } )$$

Evaluate

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

Solution Steps

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{7}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert -\frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$-\frac{7}{12}+\frac{8}{12}$$

Since -\frac{7}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{-7+8}{12}$$

Add -7 and 8 to get 1.

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

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$