Solve 1.69*8*1024div2div16div44100*1024

$$1.69 \times 8 \times 1024 \div 2 \div 16 \div 44100 \times 1024$$

Evaluate

$$\frac{2768896}{275625}\approx 10.045881179$$

Solution Steps

Express \frac{\frac{\frac{1.69\times 8\times 1024}{2}}{16}}{44100} as a single fraction.

$$\frac{\frac{1.69\times 8\times 1024}{2}}{16\times 44100}\times 1024$$

Multiply 1.69 and 8 to get 13.52.

$$\frac{\frac{13.52\times 1024}{2}}{16\times 44100}\times 1024$$

Multiply 13.52 and 1024 to get 13844.48.

$$\frac{\frac{13844.48}{2}}{16\times 44100}\times 1024$$

Expand \frac{13844.48}{2} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1384448}{200}}{16\times 44100}\times 1024$$

Reduce the fraction \frac{1384448}{200} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{173056}{25}}{16\times 44100}\times 1024$$

Multiply 16 and 44100 to get 705600.

$$\frac{\frac{173056}{25}}{705600}\times 1024$$

Express \frac{\frac{173056}{25}}{705600} as a single fraction.

$$\frac{173056}{25\times 705600}\times 1024$$

Multiply 25 and 705600 to get 17640000.

$$\frac{173056}{17640000}\times 1024$$

Reduce the fraction \frac{173056}{17640000} to lowest terms by extracting and canceling out 64.

$$\frac{2704}{275625}\times 1024$$

Express \frac{2704}{275625}\times 1024 as a single fraction.

$$\frac{2704\times 1024}{275625}$$

Multiply 2704 and 1024 to get 2768896.

$$\frac{2768896}{275625}$$

Factor

$$\frac{2 ^ {14} \cdot 13 ^ {2}}{3 ^ {2} \cdot 5 ^ {4} \cdot 7 ^ {2}} = 10\frac{12646}{275625} = 10.045881179138322$$