Solve -5/7div(-11/8)

$$\frac { - 5 } { 7 } \div ( - 1 \frac { 1 } { 8 } )$$

Evaluate

$$\frac{40}{63}\approx 0.634920635$$

Solution Steps

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$\frac{-\frac{5}{7}}{-\frac{1\times 8+1}{8}}$$

Multiply 1 and 8 to get 8.

$$\frac{-\frac{5}{7}}{-\frac{8+1}{8}}$$

Add 8 and 1 to get 9.

$$\frac{-\frac{5}{7}}{-\frac{9}{8}}$$

Divide -\frac{5}{7} by -\frac{9}{8} by multiplying -\frac{5}{7} by the reciprocal of -\frac{9}{8}.

$$-\frac{5}{7}\left(-\frac{8}{9}\right)$$

Multiply -\frac{5}{7} times -\frac{8}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-8\right)}{7\times 9}$$

Do the multiplications in the fraction \frac{-5\left(-8\right)}{7\times 9}.

$$\frac{40}{63}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2} \cdot 7} = 0.6349206349206349$$