Solve 1-(1-1div35.4)20^2

$$1-(1-1 \div 35.4) { 20 }^{ 2 }$$

Evaluate

$$-\frac{68623}{177}\approx -387.700564972$$

Solution Steps

Expand \frac{1}{35.4} by multiplying both numerator and the denominator by 10.

$$1-\left(1-\frac{10}{354}\right)\times 20^{2}$$

Reduce the fraction \frac{10}{354} to lowest terms by extracting and canceling out 2.

$$1-\left(1-\frac{5}{177}\right)\times 20^{2}$$

Convert 1 to fraction \frac{177}{177}.

$$1-\left(\frac{177}{177}-\frac{5}{177}\right)\times 20^{2}$$

Since \frac{177}{177} and \frac{5}{177} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{177-5}{177}\times 20^{2}$$

Subtract 5 from 177 to get 172.

$$1-\frac{172}{177}\times 20^{2}$$

Calculate 20 to the power of 2 and get 400.

$$1-\frac{172}{177}\times 400$$

Express \frac{172}{177}\times 400 as a single fraction.

$$1-\frac{172\times 400}{177}$$

Multiply 172 and 400 to get 68800.

$$1-\frac{68800}{177}$$

Convert 1 to fraction \frac{177}{177}.

$$\frac{177}{177}-\frac{68800}{177}$$

Since \frac{177}{177} and \frac{68800}{177} have the same denominator, subtract them by subtracting their numerators.

$$\frac{177-68800}{177}$$

Subtract 68800 from 177 to get -68623.

$$-\frac{68623}{177}$$

Factor

$$-\frac{68623}{177} = -387\frac{124}{177} = -387.7005649717514$$