Solve -43/8div-213/16

$$-4 \frac{ 3 }{ 8 } \div -2 \frac{ 13 }{ 16 }$$

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{-\frac{32+3}{8}}{-\frac{2\times 16+13}{16}}$$

Add 32 and 3 to get 35.

$$\frac{-\frac{35}{8}}{-\frac{2\times 16+13}{16}}$$

Multiply 2 and 16 to get 32.

$$\frac{-\frac{35}{8}}{-\frac{32+13}{16}}$$

Add 32 and 13 to get 45.

$$\frac{-\frac{35}{8}}{-\frac{45}{16}}$$

Divide -\frac{35}{8} by -\frac{45}{16} by multiplying -\frac{35}{8} by the reciprocal of -\frac{45}{16}.

$$-\frac{35}{8}\left(-\frac{16}{45}\right)$$

Multiply -\frac{35}{8} times -\frac{16}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-35\left(-16\right)}{8\times 45}$$

Do the multiplications in the fraction \frac{-35\left(-16\right)}{8\times 45}.

$$\frac{560}{360}$$

Reduce the fraction \frac{560}{360} to lowest terms by extracting and canceling out 40.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$