Solve 2*3.14*3.8*10^5*10^3/29.53*24*3600

$$\frac { 2 \times 3.14 \times 3.8 \times 10 ^ { 5 } \times 10 ^ { 3 } } { 29.53 \times 24 \times 3600 }$$

Evaluate

$$\frac{74575000}{79731}\approx 935.332555719$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\frac{2\times 3.14\times 3.8\times 10^{8}}{29.53\times 24\times 3600}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3.14\times 3.8\times 10^{8}}{12\times 29.53\times 3600}$$

Multiply 3.14 and 3.8 to get 11.932.

$$\frac{11.932\times 10^{8}}{12\times 29.53\times 3600}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{11.932\times 100000000}{12\times 29.53\times 3600}$$

Multiply 11.932 and 100000000 to get 1193200000.

$$\frac{1193200000}{12\times 29.53\times 3600}$$

Multiply 12 and 29.53 to get 354.36.

$$\frac{1193200000}{354.36\times 3600}$$

Multiply 354.36 and 3600 to get 1275696.

$$\frac{1193200000}{1275696}$$

Reduce the fraction \frac{1193200000}{1275696} to lowest terms by extracting and canceling out 16.

$$\frac{74575000}{79731}$$

Factor

$$\frac{19 \cdot 157 \cdot 2 ^ {3} \cdot 5 ^ {5}}{2953 \cdot 3 ^ {3}} = 935\frac{26515}{79731} = 935.3325557186038$$