Solve -8/12-9/12+48/12

$$- \frac{ 8 }{ 12 } - \frac{ 9 }{ 12 } + \frac{ 48 }{ 12 }$$

Evaluate

$$\frac{31}{12}\approx 2.583333333$$

Solution Steps

Since -\frac{8}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-9}{12}+\frac{48}{12}$$

Subtract 9 from -8 to get -17.

$$-\frac{17}{12}+\frac{48}{12}$$

Since -\frac{17}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$\frac{-17+48}{12}$$

Add -17 and 48 to get 31.

$$\frac{31}{12}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3} = 2\frac{7}{12} = 2.5833333333333335$$