Solve 7.5/998.2*3.14*102^2*10^-6

$$\frac { 7.5 } { 998.2 \times 3.14 \times 102 ^ { 2 } \times 10 ^ { - 6 } }$$

Evaluate

$$\frac{156250000}{679369929}\approx 0.229992517$$

Solution Steps

Multiply 998.2 and 3.14 to get 3134.348.

$$\frac{7.5}{3134.348\times 102^{2}\times 10^{-6}}$$

Calculate 102 to the power of 2 and get 10404.

$$\frac{7.5}{3134.348\times 10404\times 10^{-6}}$$

Multiply 3134.348 and 10404 to get 32609756.592.

$$\frac{7.5}{32609756.592\times 10^{-6}}$$

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

$$\frac{7.5}{32609756.592\times \frac{1}{1000000}}$$

Multiply 32609756.592 and \frac{1}{1000000} to get \frac{2038109787}{62500000}.

$$\frac{7.5}{\frac{2038109787}{62500000}}$$

Divide 7.5 by \frac{2038109787}{62500000} by multiplying 7.5 by the reciprocal of \frac{2038109787}{62500000}.

$$7.5\times \frac{62500000}{2038109787}$$

Multiply 7.5 and \frac{62500000}{2038109787} to get \frac{156250000}{679369929}.

$$\frac{156250000}{679369929}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {10}}{3 \cdot 7 \cdot 23 \cdot 31 \cdot 157 \cdot 17 ^ {2}} = 0.22999251708122043$$