Solve -76/7:(-93/7)

$$- 7 \frac { 6 } { 7 } : ( - 9 \frac { 3 } { 7 } )$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 7 and 7 to get 49.

$$\frac{-\frac{49+6}{7}}{-\frac{9\times 7+3}{7}}$$

Add 49 and 6 to get 55.

$$\frac{-\frac{55}{7}}{-\frac{9\times 7+3}{7}}$$

Multiply 9 and 7 to get 63.

$$\frac{-\frac{55}{7}}{-\frac{63+3}{7}}$$

Add 63 and 3 to get 66.

$$\frac{-\frac{55}{7}}{-\frac{66}{7}}$$

Divide -\frac{55}{7} by -\frac{66}{7} by multiplying -\frac{55}{7} by the reciprocal of -\frac{66}{7}.

$$-\frac{55}{7}\left(-\frac{7}{66}\right)$$

Multiply -\frac{55}{7} times -\frac{7}{66} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-55\left(-7\right)}{7\times 66}$$

Do the multiplications in the fraction \frac{-55\left(-7\right)}{7\times 66}.

$$\frac{385}{462}$$

Reduce the fraction \frac{385}{462} to lowest terms by extracting and canceling out 77.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$