Solve -5/1312/13--12/135/13

$$- \frac{ 5 }{ 13 } \frac{ 12 }{ 13 } -- \frac{ 12 }{ 13 } \frac{ 5 }{ 13 }$$

Evaluate

$$0$$

Solution Steps

Multiply -\frac{5}{13} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 12}{13\times 13}-\left(-\frac{12}{13}\times \frac{5}{13}\right)$$

Do the multiplications in the fraction \frac{-5\times 12}{13\times 13}.

$$\frac{-60}{169}-\left(-\frac{12}{13}\times \frac{5}{13}\right)$$

Fraction \frac{-60}{169} can be rewritten as -\frac{60}{169} by extracting the negative sign.

$$-\frac{60}{169}-\left(-\frac{12}{13}\times \frac{5}{13}\right)$$

Multiply -\frac{12}{13} times \frac{5}{13} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{60}{169}-\frac{-12\times 5}{13\times 13}$$

Do the multiplications in the fraction \frac{-12\times 5}{13\times 13}.

$$-\frac{60}{169}-\frac{-60}{169}$$

Fraction \frac{-60}{169} can be rewritten as -\frac{60}{169} by extracting the negative sign.

$$-\frac{60}{169}-\left(-\frac{60}{169}\right)$$

The opposite of -\frac{60}{169} is \frac{60}{169}.

$$-\frac{60}{169}+\frac{60}{169}$$

Add -\frac{60}{169} and \frac{60}{169} to get 0.

$$0$$

Factor

$$0$$