Solve 40*10^3*(12+24)/210*10^8*600*10^-6

$$\frac { 40 \times 10 ^ { 3 } \times ( 12 + 24 ) } { 210 \times 10 ^ { 8 } \times 600 \times 10 ^ { - 6 } }$$

Evaluate

$$\frac{4}{35}\approx 0.114285714$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -6 to get 2.

$$\frac{40\times 10^{3}\left(12+24\right)}{210\times 10^{2}\times 600}$$

Cancel out 4\times 10\times 10\times 10^{2} in both numerator and denominator.

$$\frac{12+24}{15\times 21}$$

Add 12 and 24 to get 36.

$$\frac{36}{15\times 21}$$

Multiply 15 and 21 to get 315.

$$\frac{36}{315}$$

Reduce the fraction \frac{36}{315} to lowest terms by extracting and canceling out 9.

$$\frac{4}{35}$$

Factor

$$\frac{2 ^ {2}}{5 \cdot 7} = 0.11428571428571428$$