Lahenda 169*8*1024div2div16div44100*1024

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

Arvuta

$$\frac{11075584}{11025}\approx 1004,588117914$$

Lahenduse etapid

Avaldage \frac{\frac{\frac{169\times 8\times 1024}{2}}{16}}{44100} ühe murdarvuna.

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

Korrutage 169 ja 8, et leida 1352.

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

Korrutage 1352 ja 1024, et leida 1384448.

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

Jagage 1384448 väärtusega 2, et leida 692224.

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

Korrutage 16 ja 44100, et leida 705600.

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

Taandage murd \frac{692224}{705600} vähimale ühiskordsele, eraldades ja taandades arvu 64.

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

Avaldage \frac{10816}{11025}\times 1024 ühe murdarvuna.

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

Korrutage 10816 ja 1024, et leida 11075584.

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

Lahuta teguriteks

$$\frac{2 ^ {16} \cdot 13 ^ {2}}{3 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {2}} = 1004\frac{6484}{11025} = 1004,5881179138322$$