Solve 169*8*1024div2div16div44100*1024

$$169 \times 8 \times 1024 \div 2 \div 16 \div 44100 \times 1024$$

Evaluate

$$\frac{11075584}{11025}\approx 1004.588117914$$

Solution Steps

Express \frac{\frac{\frac{169\times 8\times 1024}{2}}{16}}{44100} as a single fraction.

$$\frac{\frac{169\times 8\times 1024}{2}}{16\times 44100}\times 1024$$

Multiply 169 and 8 to get 1352.

$$\frac{\frac{1352\times 1024}{2}}{16\times 44100}\times 1024$$

Multiply 1352 and 1024 to get 1384448.

$$\frac{\frac{1384448}{2}}{16\times 44100}\times 1024$$

Divide 1384448 by 2 to get 692224.

$$\frac{692224}{16\times 44100}\times 1024$$

Multiply 16 and 44100 to get 705600.

$$\frac{692224}{705600}\times 1024$$

Reduce the fraction \frac{692224}{705600} to lowest terms by extracting and canceling out 64.

$$\frac{10816}{11025}\times 1024$$

Express \frac{10816}{11025}\times 1024 as a single fraction.

$$\frac{10816\times 1024}{11025}$$

Multiply 10816 and 1024 to get 11075584.

$$\frac{11075584}{11025}$$

Factor

$$\frac{2 ^ {16} \cdot 13 ^ {2}}{3 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2}} = 1004\frac{6484}{11025} = 1004.5881179138322$$