Solve 4.7/25*3*10^11*pi/1.4*1.4*6.67

$$\frac { 4.7 } { 25 } \times \frac { 3 \times 10 ^ { 11 } \times \pi } { 1.4 \times 1.4 \times 6.67 }$$

Evaluate

$$\frac{141000000000000\pi }{32683}\approx 13553363037.547372818$$

Solution Steps

Expand \frac{4.7}{25} by multiplying both numerator and the denominator by 10.

$$\frac{47}{250}\times \frac{3\times 10^{11}\pi }{1.4\times 1.4\times 6.67}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{47}{250}\times \frac{3\times 100000000000\pi }{1.4\times 1.4\times 6.67}$$

Multiply 3 and 100000000000 to get 300000000000.

$$\frac{47}{250}\times \frac{300000000000\pi }{1.4\times 1.4\times 6.67}$$

Multiply 1.4 and 1.4 to get 1.96.

$$\frac{47}{250}\times \frac{300000000000\pi }{1.96\times 6.67}$$

Multiply 1.96 and 6.67 to get 13.0732.

$$\frac{47}{250}\times \frac{300000000000\pi }{13.0732}$$

Divide 300000000000\pi by 13.0732 to get \frac{750000000000000}{32683}\pi .

$$\frac{47}{250}\times \frac{750000000000000}{32683}\pi$$

Multiply \frac{47}{250} times \frac{750000000000000}{32683} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 750000000000000}{250\times 32683}\pi$$

Do the multiplications in the fraction \frac{47\times 750000000000000}{250\times 32683}.

$$\frac{35250000000000000}{8170750}\pi$$

Reduce the fraction \frac{35250000000000000}{8170750} to lowest terms by extracting and canceling out 250.

$$\frac{141000000000000}{32683}\pi$$