Solve 16*12div1.64div4*24*32div8*2?

$$16 \times 12 \div 1.64 \div 4 \times 24 \times 32 \div 8 \times 2 ?$$

Evaluate

$$\frac{230400}{41}\approx 5619.512195122$$

Solution Steps

Express \frac{\frac{16\times 12}{1.64}}{4} as a single fraction.

$$\frac{\frac{16\times 12}{1.64\times 4}\times 24\times 32}{8}\times 2$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{4\times 12}{1.64}\times 24\times 32}{8}\times 2$$

Multiply 4 and 12 to get 48.

$$\frac{\frac{48}{1.64}\times 24\times 32}{8}\times 2$$

Expand \frac{48}{1.64} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{4800}{164}\times 24\times 32}{8}\times 2$$

Reduce the fraction \frac{4800}{164} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1200}{41}\times 24\times 32}{8}\times 2$$

Express \frac{1200}{41}\times 24 as a single fraction.

$$\frac{\frac{1200\times 24}{41}\times 32}{8}\times 2$$

Multiply 1200 and 24 to get 28800.

$$\frac{\frac{28800}{41}\times 32}{8}\times 2$$

Express \frac{28800}{41}\times 32 as a single fraction.

$$\frac{\frac{28800\times 32}{41}}{8}\times 2$$

Multiply 28800 and 32 to get 921600.

$$\frac{\frac{921600}{41}}{8}\times 2$$

Express \frac{\frac{921600}{41}}{8} as a single fraction.

$$\frac{921600}{41\times 8}\times 2$$

Multiply 41 and 8 to get 328.

$$\frac{921600}{328}\times 2$$

Reduce the fraction \frac{921600}{328} to lowest terms by extracting and canceling out 8.

$$\frac{115200}{41}\times 2$$

Express \frac{115200}{41}\times 2 as a single fraction.

$$\frac{115200\times 2}{41}$$

Multiply 115200 and 2 to get 230400.

$$\frac{230400}{41}$$

Factor

$$\frac{2 ^ {10} \cdot 3 ^ {2} \cdot 5 ^ {2}}{41} = 5619\frac{21}{41} = 5619.512195121952$$