Solve -12/13-(-13/12)

$$\frac{ -12 }{ 13 } -( \frac{ -13 }{ 12 } )$$

Evaluate

$$\frac{25}{156}\approx 0.16025641$$

Solution Steps

Fraction \frac{-12}{13} can be rewritten as -\frac{12}{13} by extracting the negative sign.

$$-\frac{12}{13}-\frac{-13}{12}$$

Fraction \frac{-13}{12} can be rewritten as -\frac{13}{12} by extracting the negative sign.

$$-\frac{12}{13}-\left(-\frac{13}{12}\right)$$

The opposite of -\frac{13}{12} is \frac{13}{12}.

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

Least common multiple of 13 and 12 is 156. Convert -\frac{12}{13} and \frac{13}{12} to fractions with denominator 156.

$$-\frac{144}{156}+\frac{169}{156}$$

Since -\frac{144}{156} and \frac{169}{156} have the same denominator, add them by adding their numerators.

$$\frac{-144+169}{156}$$

Add -144 and 169 to get 25.

$$\frac{25}{156}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3 \cdot 13} = 0.16025641025641027$$