Solve (12.44-9.9)*1024*1024div60div60div60

$$(12.44-9.9) \times 1024 \times 1024 \div 60 \div 60 \div 60$$

Evaluate

$$\frac{1040384}{84375}\approx 12.330477037$$

Solution Steps

Express \frac{\frac{\frac{\left(12.44-9.9\right)\times 1024\times 1024}{60}}{60}}{60} as a single fraction.

$$\frac{\frac{\left(12.44-9.9\right)\times 1024\times 1024}{60}}{60\times 60}$$

Subtract 9.9 from 12.44 to get 2.54.

$$\frac{\frac{2.54\times 1024\times 1024}{60}}{60\times 60}$$

Multiply 2.54 and 1024 to get 2600.96.

$$\frac{\frac{2600.96\times 1024}{60}}{60\times 60}$$

Multiply 2600.96 and 1024 to get 2663383.04.

$$\frac{\frac{2663383.04}{60}}{60\times 60}$$

Expand \frac{2663383.04}{60} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{266338304}{6000}}{60\times 60}$$

Reduce the fraction \frac{266338304}{6000} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{16646144}{375}}{60\times 60}$$

Multiply 60 and 60 to get 3600.

$$\frac{\frac{16646144}{375}}{3600}$$

Express \frac{\frac{16646144}{375}}{3600} as a single fraction.

$$\frac{16646144}{375\times 3600}$$

Multiply 375 and 3600 to get 1350000.

$$\frac{16646144}{1350000}$$

Reduce the fraction \frac{16646144}{1350000} to lowest terms by extracting and canceling out 16.

$$\frac{1040384}{84375}$$

Factor

$$\frac{127 \cdot 2 ^ {13}}{3 ^ {3} \cdot 5 ^ {5}} = 12\frac{27884}{84375} = 12.330477037037037$$