Solve -11/13div(-19/13)=

$$- \frac{ 11 }{ 13 } \div (-1 \frac{ 9 }{ 13 } )=$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 1 and 13 to get 13.

$$\frac{-\frac{11}{13}}{-\frac{13+9}{13}}$$

Add 13 and 9 to get 22.

$$\frac{-\frac{11}{13}}{-\frac{22}{13}}$$

Divide -\frac{11}{13} by -\frac{22}{13} by multiplying -\frac{11}{13} by the reciprocal of -\frac{22}{13}.

$$-\frac{11}{13}\left(-\frac{13}{22}\right)$$

Multiply -\frac{11}{13} times -\frac{13}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\left(-13\right)}{13\times 22}$$

Do the multiplications in the fraction \frac{-11\left(-13\right)}{13\times 22}.

$$\frac{143}{286}$$

Reduce the fraction \frac{143}{286} to lowest terms by extracting and canceling out 143.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$