Solve 3000*300*(430-117.647/2)*10^-6=

$$3000 \times 300 \times ( 430 - \frac { 117.647 } { 2 } ) \times 10 ^ { - 6 } =$$

Evaluate

$$334.05885$$

Solution Steps

Multiply 3000 and 300 to get 900000.

$$900000\left(430-\frac{117.647}{2}\right)\times 10^{-6}$$

Expand \frac{117.647}{2} by multiplying both numerator and the denominator by 1000.

$$900000\left(430-\frac{117647}{2000}\right)\times 10^{-6}$$

Subtract \frac{117647}{2000} from 430 to get \frac{742353}{2000}.

$$900000\times \frac{742353}{2000}\times 10^{-6}$$

Multiply 900000 and \frac{742353}{2000} to get 334058850.

$$334058850\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$334058850\times \frac{1}{1000000}$$

Multiply 334058850 and \frac{1}{1000000} to get \frac{6681177}{20000}.

$$\frac{6681177}{20000}$$

Factor

$$\frac{247451 \cdot 3 ^ {3}}{2 ^ {5} \cdot 5 ^ {4}} = 334\frac{1177}{20000} = 334.05885$$