Solve 13/19-(-8/13)

$$\frac { 13 } { 19 } - ( \frac { - 8 } { 13 } )$$

Evaluate

$$\frac{321}{247}\approx 1.299595142$$

Solution Steps

Fraction \frac{-8}{13} can be rewritten as -\frac{8}{13} by extracting the negative sign.

$$\frac{13}{19}-\left(-\frac{8}{13}\right)$$

The opposite of -\frac{8}{13} is \frac{8}{13}.

$$\frac{13}{19}+\frac{8}{13}$$

Least common multiple of 19 and 13 is 247. Convert \frac{13}{19} and \frac{8}{13} to fractions with denominator 247.

$$\frac{169}{247}+\frac{152}{247}$$

Since \frac{169}{247} and \frac{152}{247} have the same denominator, add them by adding their numerators.

$$\frac{169+152}{247}$$

Add 169 and 152 to get 321.

$$\frac{321}{247}$$

Factor

$$\frac{3 \cdot 107}{13 \cdot 19} = 1\frac{74}{247} = 1.2995951417004048$$