Solve 8/frac{5{7}-8}

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

Evaluate

$$-\frac{56}{51}\approx -1.098039216$$

Solution Steps

Convert 8 to fraction \frac{56}{7}.

$$\frac{8}{\frac{5}{7}-\frac{56}{7}}$$

Since \frac{5}{7} and \frac{56}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8}{\frac{5-56}{7}}$$

Subtract 56 from 5 to get -51.

$$\frac{8}{-\frac{51}{7}}$$

Divide 8 by -\frac{51}{7} by multiplying 8 by the reciprocal of -\frac{51}{7}.

$$8\left(-\frac{7}{51}\right)$$

Express 8\left(-\frac{7}{51}\right) as a single fraction.

$$\frac{8\left(-7\right)}{51}$$

Multiply 8 and -7 to get -56.

$$\frac{-56}{51}$$

Fraction \frac{-56}{51} can be rewritten as -\frac{56}{51} by extracting the negative sign.

$$-\frac{56}{51}$$

Factor

$$-\frac{56}{51} = -1\frac{5}{51} = -1.0980392156862746$$