Solve (1000*80%div164*0.38)%*80-80*1000

$$(1000 \times 80 \% \div 164 \times 0.38) \% \times 80-80 \times 1000$$

Evaluate

$$-\frac{16399696}{205}\approx -79998.517073171$$

Solution Steps

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{1000\times \frac{4}{5}}{164}\times 0.38}{100}\times 80-80\times 1000$$

Express 1000\times \frac{4}{5} as a single fraction.

$$\frac{\frac{\frac{1000\times 4}{5}}{164}\times 0.38}{100}\times 80-80\times 1000$$

Multiply 1000 and 4 to get 4000.

$$\frac{\frac{\frac{4000}{5}}{164}\times 0.38}{100}\times 80-80\times 1000$$

Divide 4000 by 5 to get 800.

$$\frac{\frac{800}{164}\times 0.38}{100}\times 80-80\times 1000$$

Reduce the fraction \frac{800}{164} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{200}{41}\times 0.38}{100}\times 80-80\times 1000$$

Convert decimal number 0.38 to fraction \frac{38}{100}. Reduce the fraction \frac{38}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{200}{41}\times \frac{19}{50}}{100}\times 80-80\times 1000$$

Multiply \frac{200}{41} times \frac{19}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{200\times 19}{41\times 50}}{100}\times 80-80\times 1000$$

Do the multiplications in the fraction \frac{200\times 19}{41\times 50}.

$$\frac{\frac{3800}{2050}}{100}\times 80-80\times 1000$$

Reduce the fraction \frac{3800}{2050} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{76}{41}}{100}\times 80-80\times 1000$$

Express \frac{\frac{76}{41}}{100} as a single fraction.

$$\frac{76}{41\times 100}\times 80-80\times 1000$$

Multiply 41 and 100 to get 4100.

$$\frac{76}{4100}\times 80-80\times 1000$$

Reduce the fraction \frac{76}{4100} to lowest terms by extracting and canceling out 4.

$$\frac{19}{1025}\times 80-80\times 1000$$

Express \frac{19}{1025}\times 80 as a single fraction.

$$\frac{19\times 80}{1025}-80\times 1000$$

Multiply 19 and 80 to get 1520.

$$\frac{1520}{1025}-80\times 1000$$

Reduce the fraction \frac{1520}{1025} to lowest terms by extracting and canceling out 5.

$$\frac{304}{205}-80\times 1000$$

Multiply 80 and 1000 to get 80000.

$$\frac{304}{205}-80000$$

Convert 80000 to fraction \frac{16400000}{205}.

$$\frac{304}{205}-\frac{16400000}{205}$$

Since \frac{304}{205} and \frac{16400000}{205} have the same denominator, subtract them by subtracting their numerators.

$$\frac{304-16400000}{205}$$

Subtract 16400000 from 304 to get -16399696.

$$-\frac{16399696}{205}$$

Factor

$$-\frac{16399696}{205} = -79998\frac{106}{205} = -79998.51707317073$$