Solve 44100*3*2*16div8div1024div1024*60

$$44100 \times 3 \times 2 \times 16 \div 8 \div 1024 \div 1024 \times 60$$

Evaluate

$$\frac{496125}{16384}\approx 30.281066895$$

Solution Steps

Express \frac{\frac{\frac{44100\times 3\times 2\times 16}{8}}{1024}}{1024} as a single fraction.

$$\frac{\frac{44100\times 3\times 2\times 16}{8}}{1024\times 1024}\times 60$$

Multiply 44100 and 3 to get 132300.

$$\frac{\frac{132300\times 2\times 16}{8}}{1024\times 1024}\times 60$$

Multiply 132300 and 2 to get 264600.

$$\frac{\frac{264600\times 16}{8}}{1024\times 1024}\times 60$$

Multiply 264600 and 16 to get 4233600.

$$\frac{\frac{4233600}{8}}{1024\times 1024}\times 60$$

Divide 4233600 by 8 to get 529200.

$$\frac{529200}{1024\times 1024}\times 60$$

Multiply 1024 and 1024 to get 1048576.

$$\frac{529200}{1048576}\times 60$$

Reduce the fraction \frac{529200}{1048576} to lowest terms by extracting and canceling out 16.

$$\frac{33075}{65536}\times 60$$

Express \frac{33075}{65536}\times 60 as a single fraction.

$$\frac{33075\times 60}{65536}$$

Multiply 33075 and 60 to get 1984500.

$$\frac{1984500}{65536}$$

Reduce the fraction \frac{1984500}{65536} to lowest terms by extracting and canceling out 4.

$$\frac{496125}{16384}$$

Factor

$$\frac{3 ^ {4} \cdot 5 ^ {3} \cdot 7 ^ {2}}{2 ^ {14}} = 30\frac{4605}{16384} = 30.28106689453125$$