Solve -83/4div(-5/7)

$$- 8 \frac { 3 } { 4 } \div ( - \frac { 5 } { 7 } )$$

Evaluate

$$\frac{49}{4}=12.25$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{-\frac{32+3}{4}}{-\frac{5}{7}}$$

Add 32 and 3 to get 35.

$$\frac{-\frac{35}{4}}{-\frac{5}{7}}$$

Divide -\frac{35}{4} by -\frac{5}{7} by multiplying -\frac{35}{4} by the reciprocal of -\frac{5}{7}.

$$-\frac{35}{4}\left(-\frac{7}{5}\right)$$

Multiply -\frac{35}{4} times -\frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-35\left(-7\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-35\left(-7\right)}{4\times 5}.

$$\frac{245}{20}$$

Reduce the fraction \frac{245}{20} to lowest terms by extracting and canceling out 5.

$$\frac{49}{4}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2}} = 12\frac{1}{4} = 12.25$$