Solve 16.050(10^3)/(24.8-19.4)(1.057)(453.6)=

$$\frac { 16.050 ( 10 ^ { 3 } ) } { ( 24.8 - 19.4 ) ( 1.057 ) ( 453.6 ) } =$$

Evaluate

$$\frac{33437500}{5393871}\approx 6.199165683$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{16.05\times 1000}{\left(24.8-19.4\right)\times 1.057\times 453.6}$$

Multiply 16.05 and 1000 to get 16050.

$$\frac{16050}{\left(24.8-19.4\right)\times 1.057\times 453.6}$$

Subtract 19.4 from 24.8 to get 5.4.

$$\frac{16050}{5.4\times 1.057\times 453.6}$$

Multiply 5.4 and 1.057 to get 5.7078.

$$\frac{16050}{5.7078\times 453.6}$$

Multiply 5.7078 and 453.6 to get 2589.05808.

$$\frac{16050}{2589.05808}$$

Expand \frac{16050}{2589.05808} by multiplying both numerator and the denominator by 100000.

$$\frac{1605000000}{258905808}$$

Reduce the fraction \frac{1605000000}{258905808} to lowest terms by extracting and canceling out 48.

$$\frac{33437500}{5393871}$$

Factor

$$\frac{107 \cdot 2 ^ {2} \cdot 5 ^ {7}}{151 \cdot 3 ^ {6} \cdot 7 ^ {2}} = 6\frac{1074274}{5393871} = 6.199165682679471$$