Solve -1/1-frac{8760-2000{8760}}0.077

$$- \frac{ 1 }{ 1- \frac{ 8760-2000 }{ 8760 } } 0.077$$

Evaluate

$$-0.33726$$

Solution Steps

Subtract 2000 from 8760 to get 6760.

$$\left(-\frac{1}{1-\frac{6760}{8760}}\right)\times 0.077$$

Reduce the fraction \frac{6760}{8760} to lowest terms by extracting and canceling out 40.

$$\left(-\frac{1}{1-\frac{169}{219}}\right)\times 0.077$$

Convert 1 to fraction \frac{219}{219}.

$$\left(-\frac{1}{\frac{219}{219}-\frac{169}{219}}\right)\times 0.077$$

Since \frac{219}{219} and \frac{169}{219} have the same denominator, subtract them by subtracting their numerators.

$$\left(-\frac{1}{\frac{219-169}{219}}\right)\times 0.077$$

Subtract 169 from 219 to get 50.

$$\left(-\frac{1}{\frac{50}{219}}\right)\times 0.077$$

Divide 1 by \frac{50}{219} by multiplying 1 by the reciprocal of \frac{50}{219}.

$$\left(-1\times \frac{219}{50}\right)\times 0.077$$

Multiply 1 and \frac{219}{50} to get \frac{219}{50}.

$$-\frac{219}{50}\times 0.077$$

Convert decimal number 0.077 to fraction \frac{77}{1000}.

$$-\frac{219}{50}\times \frac{77}{1000}$$

Multiply -\frac{219}{50} times \frac{77}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-219\times 77}{50\times 1000}$$

Do the multiplications in the fraction \frac{-219\times 77}{50\times 1000}.

$$\frac{-16863}{50000}$$

Fraction \frac{-16863}{50000} can be rewritten as -\frac{16863}{50000} by extracting the negative sign.

$$-\frac{16863}{50000}$$

Factor

$$-0.33726$$