Solve 1/1-0.42*1-frac{1{1.345}}=

$$\frac { 1 } { 1 - 0.42 \times 1 - \frac { 1 } { 1.345 } } =$$

Evaluate

$$-\frac{13450}{2199}\approx -6.116416553$$

Solution Steps

Multiply 0.42 and 1 to get 0.42.

$$\frac{1}{1-0.42-\frac{1}{1.345}}$$

Subtract 0.42 from 1 to get 0.58.

$$\frac{1}{0.58-\frac{1}{1.345}}$$

Expand \frac{1}{1.345} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{0.58-\frac{1000}{1345}}$$

Reduce the fraction \frac{1000}{1345} to lowest terms by extracting and canceling out 5.

$$\frac{1}{0.58-\frac{200}{269}}$$

Convert decimal number 0.58 to fraction \frac{58}{100}. Reduce the fraction \frac{58}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{\frac{29}{50}-\frac{200}{269}}$$

Least common multiple of 50 and 269 is 13450. Convert \frac{29}{50} and \frac{200}{269} to fractions with denominator 13450.

$$\frac{1}{\frac{7801}{13450}-\frac{10000}{13450}}$$

Since \frac{7801}{13450} and \frac{10000}{13450} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{7801-10000}{13450}}$$

Subtract 10000 from 7801 to get -2199.

$$\frac{1}{-\frac{2199}{13450}}$$

Divide 1 by -\frac{2199}{13450} by multiplying 1 by the reciprocal of -\frac{2199}{13450}.

$$1\left(-\frac{13450}{2199}\right)$$

Multiply 1 and -\frac{13450}{2199} to get -\frac{13450}{2199}.

$$-\frac{13450}{2199}$$

Factor

$$-\frac{13450}{2199} = -6\frac{256}{2199} = -6.1164165529786265$$