Solve -23/8div(-31/6)

$$-2 \frac{ 3 }{ 8 } \div (-3 \frac{ 1 }{ 6 } )$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{-\frac{16+3}{8}}{-\frac{3\times 6+1}{6}}$$

Add 16 and 3 to get 19.

$$\frac{-\frac{19}{8}}{-\frac{3\times 6+1}{6}}$$

Multiply 3 and 6 to get 18.

$$\frac{-\frac{19}{8}}{-\frac{18+1}{6}}$$

Add 18 and 1 to get 19.

$$\frac{-\frac{19}{8}}{-\frac{19}{6}}$$

Divide -\frac{19}{8} by -\frac{19}{6} by multiplying -\frac{19}{8} by the reciprocal of -\frac{19}{6}.

$$-\frac{19}{8}\left(-\frac{6}{19}\right)$$

Multiply -\frac{19}{8} times -\frac{6}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-19\left(-6\right)}{8\times 19}$$

Do the multiplications in the fraction \frac{-19\left(-6\right)}{8\times 19}.

$$\frac{114}{152}$$

Reduce the fraction \frac{114}{152} to lowest terms by extracting and canceling out 38.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$