Solve 1000*80%div164*0.38-80

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

Evaluate

$$-\frac{3204}{41}\approx -78.146341463$$

Solution Steps

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

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

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

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

Multiply 1000 and 4 to get 4000.

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

Divide 4000 by 5 to get 800.

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

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

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

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.

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

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

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

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

$$\frac{3800}{2050}-80$$

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

$$\frac{76}{41}-80$$

Convert 80 to fraction \frac{3280}{41}.

$$\frac{76}{41}-\frac{3280}{41}$$

Since \frac{76}{41} and \frac{3280}{41} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-3280}{41}$$

Subtract 3280 from 76 to get -3204.

$$-\frac{3204}{41}$$

Factor

$$-\frac{3204}{41} = -78\frac{6}{41} = -78.14634146341463$$