Solve 23/8div-21/2

$$2 \frac { 3 } { 8 } \div - 2 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{19}{20}=-0.95$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{\frac{16+3}{8}}{-\frac{2\times 2+1}{2}}$$

Add 16 and 3 to get 19.

$$\frac{\frac{19}{8}}{-\frac{2\times 2+1}{2}}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{19}{8}}{-\frac{4+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{19}{8}}{-\frac{5}{2}}$$

Divide \frac{19}{8} by -\frac{5}{2} by multiplying \frac{19}{8} by the reciprocal of -\frac{5}{2}.

$$\frac{19}{8}\left(-\frac{2}{5}\right)$$

Multiply \frac{19}{8} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\left(-2\right)}{8\times 5}$$

Do the multiplications in the fraction \frac{19\left(-2\right)}{8\times 5}.

$$\frac{-38}{40}$$

Reduce the fraction \frac{-38}{40} to lowest terms by extracting and canceling out 2.

$$-\frac{19}{20}$$

Factor

$$-\frac{19}{20} = -0.95$$