Solve 4.42*10241024/100*60*60

$$4.42 \cdot 1024 \frac{ 1024 }{ 100 \times 60 \times 60 }$$

Evaluate

$$\frac{1810432}{140625}\approx 12.874183111$$

Solution Steps

Multiply 4.42 and 1024 to get 4526.08.

$$4526.08\times \frac{1024}{100\times 60\times 60}$$

Multiply 100 and 60 to get 6000.

$$4526.08\times \frac{1024}{6000\times 60}$$

Multiply 6000 and 60 to get 360000.

$$4526.08\times \frac{1024}{360000}$$

Reduce the fraction \frac{1024}{360000} to lowest terms by extracting and canceling out 64.

$$4526.08\times \frac{16}{5625}$$

Convert decimal number 4526.08 to fraction \frac{452608}{100}. Reduce the fraction \frac{452608}{100} to lowest terms by extracting and canceling out 4.

$$\frac{113152}{25}\times \frac{16}{5625}$$

Multiply \frac{113152}{25} times \frac{16}{5625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{113152\times 16}{25\times 5625}$$

Do the multiplications in the fraction \frac{113152\times 16}{25\times 5625}.

$$\frac{1810432}{140625}$$

Factor

$$\frac{13 \cdot 17 \cdot 2 ^ {13}}{3 ^ {2} \cdot 5 ^ {6}} = 12\frac{122932}{140625} = 12.874183111111112$$