Solve (1000*80%div164*0.38)*80div2

$$(1000 \times 80 \% \div 164 \times 0.38) \times 80 \div 2$$

Evaluate

$$\frac{3040}{41}\approx 74.146341463$$

Solution Steps

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

$$\frac{\frac{1000\times \frac{4}{5}}{164}\times 0.38\times 80}{2}$$

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

$$\frac{\frac{\frac{1000\times 4}{5}}{164}\times 0.38\times 80}{2}$$

Multiply 1000 and 4 to get 4000.

$$\frac{\frac{\frac{4000}{5}}{164}\times 0.38\times 80}{2}$$

Divide 4000 by 5 to get 800.

$$\frac{\frac{800}{164}\times 0.38\times 80}{2}$$

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

$$\frac{\frac{200}{41}\times 0.38\times 80}{2}$$

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.

$$\frac{\frac{200}{41}\times \frac{19}{50}\times 80}{2}$$

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

$$\frac{\frac{200\times 19}{41\times 50}\times 80}{2}$$

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

$$\frac{\frac{3800}{2050}\times 80}{2}$$

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

$$\frac{\frac{76}{41}\times 80}{2}$$

Express \frac{76}{41}\times 80 as a single fraction.

$$\frac{\frac{76\times 80}{41}}{2}$$

Multiply 76 and 80 to get 6080.

$$\frac{\frac{6080}{41}}{2}$$

Express \frac{\frac{6080}{41}}{2} as a single fraction.

$$\frac{6080}{41\times 2}$$

Multiply 41 and 2 to get 82.

$$\frac{6080}{82}$$

Reduce the fraction \frac{6080}{82} to lowest terms by extracting and canceling out 2.

$$\frac{3040}{41}$$

Factor

$$\frac{5 \cdot 19 \cdot 2 ^ {5}}{41} = 74\frac{6}{41} = 74.14634146341463$$