Solve -113/8:(-21/8)

$$- 11 \frac { 3 } { 8 } : ( - 2 \frac { 1 } { 8 } )$$

Evaluate

$$\frac{91}{17}\approx 5.352941176$$

Solution Steps

Multiply 11 and 8 to get 88.

$$\frac{-\frac{88+3}{8}}{-\frac{2\times 8+1}{8}}$$

Add 88 and 3 to get 91.

$$\frac{-\frac{91}{8}}{-\frac{2\times 8+1}{8}}$$

Multiply 2 and 8 to get 16.

$$\frac{-\frac{91}{8}}{-\frac{16+1}{8}}$$

Add 16 and 1 to get 17.

$$\frac{-\frac{91}{8}}{-\frac{17}{8}}$$

Divide -\frac{91}{8} by -\frac{17}{8} by multiplying -\frac{91}{8} by the reciprocal of -\frac{17}{8}.

$$-\frac{91}{8}\left(-\frac{8}{17}\right)$$

Multiply -\frac{91}{8} times -\frac{8}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-91\left(-8\right)}{8\times 17}$$

Do the multiplications in the fraction \frac{-91\left(-8\right)}{8\times 17}.

$$\frac{728}{136}$$

Reduce the fraction \frac{728}{136} to lowest terms by extracting and canceling out 8.

$$\frac{91}{17}$$

Factor

$$\frac{7 \cdot 13}{17} = 5\frac{6}{17} = 5.352941176470588$$