Solve 21/12div(-23/16)

$$2 \frac { 1 } { 12 } \div ( - 2 \frac { 3 } { 16 } )$$

Evaluate

$$-\frac{20}{21}\approx -0.952380952$$

Solution Steps

Multiply 2 and 12 to get 24.

$$\frac{\frac{24+1}{12}}{-\frac{2\times 16+3}{16}}$$

Add 24 and 1 to get 25.

$$\frac{\frac{25}{12}}{-\frac{2\times 16+3}{16}}$$

Multiply 2 and 16 to get 32.

$$\frac{\frac{25}{12}}{-\frac{32+3}{16}}$$

Add 32 and 3 to get 35.

$$\frac{\frac{25}{12}}{-\frac{35}{16}}$$

Divide \frac{25}{12} by -\frac{35}{16} by multiplying \frac{25}{12} by the reciprocal of -\frac{35}{16}.

$$\frac{25}{12}\left(-\frac{16}{35}\right)$$

Multiply \frac{25}{12} times -\frac{16}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\left(-16\right)}{12\times 35}$$

Do the multiplications in the fraction \frac{25\left(-16\right)}{12\times 35}.

$$\frac{-400}{420}$$

Reduce the fraction \frac{-400}{420} to lowest terms by extracting and canceling out 20.

$$-\frac{20}{21}$$

Factor

$$-\frac{20}{21} = -0.9523809523809523$$