Solve 1/-frac{2{13}-13}

$$\frac { 1 } { - \frac { 2 } { 13 } - 13 }$$

Evaluate

$$-\frac{13}{171}\approx -0.076023392$$

Solution Steps

Convert 13 to fraction \frac{169}{13}.

$$\frac{1}{-\frac{2}{13}-\frac{169}{13}}$$

Since -\frac{2}{13} and \frac{169}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{-2-169}{13}}$$

Subtract 169 from -2 to get -171.

$$\frac{1}{-\frac{171}{13}}$$

Divide 1 by -\frac{171}{13} by multiplying 1 by the reciprocal of -\frac{171}{13}.

$$1\left(-\frac{13}{171}\right)$$

Multiply 1 and -\frac{13}{171} to get -\frac{13}{171}.

$$-\frac{13}{171}$$

Factor

$$-\frac{13}{171} = -0.07602339181286549$$