Solve -65/144+12/13

$$- \frac { 65 } { 144 } + \frac { 12 } { 13 }$$

Evaluate

$$\frac{883}{1872}\approx 0.471688034$$

Solution Steps

Least common multiple of 144 and 13 is 1872. Convert -\frac{65}{144} and \frac{12}{13} to fractions with denominator 1872.

$$-\frac{845}{1872}+\frac{1728}{1872}$$

Since -\frac{845}{1872} and \frac{1728}{1872} have the same denominator, add them by adding their numerators.

$$\frac{-845+1728}{1872}$$

Add -845 and 1728 to get 883.

$$\frac{883}{1872}$$

Factor

$$\frac{883}{2 ^ {4} \cdot 3 ^ {2} \cdot 13} = 0.4716880341880342$$