Solve -101/9:92/7

$$- 10 \frac { 1 } { 9 } : 9 \frac { 2 } { 7 }$$

Evaluate

$$-\frac{49}{45}\approx -1.088888889$$

Solution Steps

Multiply 10 and 9 to get 90.

$$\frac{-\frac{90+1}{9}}{\frac{9\times 7+2}{7}}$$

Add 90 and 1 to get 91.

$$\frac{-\frac{91}{9}}{\frac{9\times 7+2}{7}}$$

Multiply 9 and 7 to get 63.

$$\frac{-\frac{91}{9}}{\frac{63+2}{7}}$$

Add 63 and 2 to get 65.

$$\frac{-\frac{91}{9}}{\frac{65}{7}}$$

Divide -\frac{91}{9} by \frac{65}{7} by multiplying -\frac{91}{9} by the reciprocal of \frac{65}{7}.

$$-\frac{91}{9}\times \frac{7}{65}$$

Multiply -\frac{91}{9} times \frac{7}{65} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-91\times 7}{9\times 65}$$

Do the multiplications in the fraction \frac{-91\times 7}{9\times 65}.

$$\frac{-637}{585}$$

Reduce the fraction \frac{-637}{585} to lowest terms by extracting and canceling out 13.

$$-\frac{49}{45}$$

Factor

$$-\frac{49}{45} = -1\frac{4}{45} = -1.0888888888888888$$