Solve 23/4div(-31/6)

$$2 \frac { 3 } { 4 } \div ( - 3 \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{33}{38}\approx -0.868421053$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+3}{4}}{-\frac{3\times 6+1}{6}}$$

Add 8 and 3 to get 11.

$$\frac{\frac{11}{4}}{-\frac{3\times 6+1}{6}}$$

Multiply 3 and 6 to get 18.

$$\frac{\frac{11}{4}}{-\frac{18+1}{6}}$$

Add 18 and 1 to get 19.

$$\frac{\frac{11}{4}}{-\frac{19}{6}}$$

Divide \frac{11}{4} by -\frac{19}{6} by multiplying \frac{11}{4} by the reciprocal of -\frac{19}{6}.

$$\frac{11}{4}\left(-\frac{6}{19}\right)$$

Multiply \frac{11}{4} times -\frac{6}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\left(-6\right)}{4\times 19}$$

Do the multiplications in the fraction \frac{11\left(-6\right)}{4\times 19}.

$$\frac{-66}{76}$$

Reduce the fraction \frac{-66}{76} to lowest terms by extracting and canceling out 2.

$$-\frac{33}{38}$$

Factor

$$-\frac{33}{38} = -0.868421052631579$$