Solve 2*3.14*1.510^11/3.1510^7

$$2 \cdot 3.14 \cdot 1.5 \frac{ { 10 }^{ 11 } }{ 3.15 { 10 }^{ 7 } }$$

Evaluate

$$\frac{628000}{21}\approx 29904.761904762$$

Solution Steps

Multiply 2 and 3.14 to get 6.28.

$$6.28\times 1.5\times \frac{10^{11}}{3.15\times 10^{7}}$$

Multiply 6.28 and 1.5 to get 9.42.

$$9.42\times \frac{10^{11}}{3.15\times 10^{7}}$$

Cancel out 10^{7} in both numerator and denominator.

$$9.42\times \frac{10^{4}}{3.15}$$

Calculate 10 to the power of 4 and get 10000.

$$9.42\times \frac{10000}{3.15}$$

Expand \frac{10000}{3.15} by multiplying both numerator and the denominator by 100.

$$9.42\times \frac{1000000}{315}$$

Reduce the fraction \frac{1000000}{315} to lowest terms by extracting and canceling out 5.

$$9.42\times \frac{200000}{63}$$

Convert decimal number 9.42 to fraction \frac{942}{100}. Reduce the fraction \frac{942}{100} to lowest terms by extracting and canceling out 2.

$$\frac{471}{50}\times \frac{200000}{63}$$

Multiply \frac{471}{50} times \frac{200000}{63} by multiplying numerator times numerator and denominator times denominator.

$$\frac{471\times 200000}{50\times 63}$$

Do the multiplications in the fraction \frac{471\times 200000}{50\times 63}.

$$\frac{94200000}{3150}$$

Reduce the fraction \frac{94200000}{3150} to lowest terms by extracting and canceling out 150.

$$\frac{628000}{21}$$

Factor

$$\frac{157 \cdot 2 ^ {5} \cdot 5 ^ {3}}{3 \cdot 7} = 29904\frac{16}{21} = 29904.761904761905$$