Solve -6/13--7/15

$$\frac { - 6 } { 13 } - \frac { - 7 } { 15 }$$

Evaluate

$$\frac{1}{195}\approx 0.005128205$$

Solution Steps

Fraction \frac{-6}{13} can be rewritten as -\frac{6}{13} by extracting the negative sign.

$$-\frac{6}{13}-\frac{-7}{15}$$

Fraction \frac{-7}{15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$-\frac{6}{13}-\left(-\frac{7}{15}\right)$$

The opposite of -\frac{7}{15} is \frac{7}{15}.

$$-\frac{6}{13}+\frac{7}{15}$$

Least common multiple of 13 and 15 is 195. Convert -\frac{6}{13} and \frac{7}{15} to fractions with denominator 195.

$$-\frac{90}{195}+\frac{91}{195}$$

Since -\frac{90}{195} and \frac{91}{195} have the same denominator, add them by adding their numerators.

$$\frac{-90+91}{195}$$

Add -90 and 91 to get 1.

$$\frac{1}{195}$$

Factor

$$\frac{1}{3 \cdot 5 \cdot 13} = 0.005128205128205128$$