Solve -5/11div-13/33

$$- \frac{ 5 }{ 11 } \div - \frac{ 13 }{ 33 }$$

Evaluate

$$\frac{15}{13}\approx 1.153846154$$

Solution Steps

Divide -\frac{5}{11} by -\frac{13}{33} by multiplying -\frac{5}{11} by the reciprocal of -\frac{13}{33}.

$$-\frac{5}{11}\left(-\frac{33}{13}\right)$$

Multiply -\frac{5}{11} times -\frac{33}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-33\right)}{11\times 13}$$

Do the multiplications in the fraction \frac{-5\left(-33\right)}{11\times 13}.

$$\frac{165}{143}$$

Reduce the fraction \frac{165}{143} to lowest terms by extracting and canceling out 11.

$$\frac{15}{13}$$

Factor

$$\frac{3 \cdot 5}{13} = 1\frac{2}{13} = 1.1538461538461537$$