Solve -3/4div-33/5

$$- \frac{ 3 }{ 4 } \div -3 \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{5}{24}\approx 0.208333333$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{-\frac{3}{4}}{-\frac{15+3}{5}}$$

Add 15 and 3 to get 18.

$$\frac{-\frac{3}{4}}{-\frac{18}{5}}$$

Divide -\frac{3}{4} by -\frac{18}{5} by multiplying -\frac{3}{4} by the reciprocal of -\frac{18}{5}.

$$-\frac{3}{4}\left(-\frac{5}{18}\right)$$

Multiply -\frac{3}{4} times -\frac{5}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(-5\right)}{4\times 18}$$

Do the multiplications in the fraction \frac{-3\left(-5\right)}{4\times 18}.

$$\frac{15}{72}$$

Reduce the fraction \frac{15}{72} to lowest terms by extracting and canceling out 3.

$$\frac{5}{24}$$

Factor

$$\frac{5}{2 ^ {3} \cdot 3} = 0.20833333333333334$$