Solve 1-(30.4-0.141div30.4)2

$$1-(30.4-0.141 \div 30.4)2$$

Evaluate

$$-\frac{908819}{15200}\approx -59.790723684$$

Solution Steps

Expand \frac{0.141}{30.4} by multiplying both numerator and the denominator by 1000.

$$1-\left(30.4-\frac{141}{30400}\right)\times 2$$

Convert decimal number 30.4 to fraction \frac{304}{10}. Reduce the fraction \frac{304}{10} to lowest terms by extracting and canceling out 2.

$$1-\left(\frac{152}{5}-\frac{141}{30400}\right)\times 2$$

Least common multiple of 5 and 30400 is 30400. Convert \frac{152}{5} and \frac{141}{30400} to fractions with denominator 30400.

$$1-\left(\frac{924160}{30400}-\frac{141}{30400}\right)\times 2$$

Since \frac{924160}{30400} and \frac{141}{30400} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{924160-141}{30400}\times 2$$

Subtract 141 from 924160 to get 924019.

$$1-\frac{924019}{30400}\times 2$$

Express \frac{924019}{30400}\times 2 as a single fraction.

$$1-\frac{924019\times 2}{30400}$$

Multiply 924019 and 2 to get 1848038.

$$1-\frac{1848038}{30400}$$

Reduce the fraction \frac{1848038}{30400} to lowest terms by extracting and canceling out 2.

$$1-\frac{924019}{15200}$$

Convert 1 to fraction \frac{15200}{15200}.

$$\frac{15200}{15200}-\frac{924019}{15200}$$

Since \frac{15200}{15200} and \frac{924019}{15200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15200-924019}{15200}$$

Subtract 924019 from 15200 to get -908819.

$$-\frac{908819}{15200}$$

Factor

$$-\frac{908819}{15200} = -59\frac{12019}{15200} = -59.790723684210526$$