Solve 0.1*1500/2*9.5*10^-3+1156562.5/3.14*1.5^2*9.5*10^-3

$$\frac { 0.1 \times 1500 } { 2 \times 9.5 \times 10 ^ { - 3 } } + \frac { 1156562.5 } { 3.14 \times 1.5 ^ { 2 } \times 9.5 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{462836950000}{26847}\approx 17239801.467575521$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{0.1\times 750}{9.5\times 10^{-3}}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Multiply 0.1 and 750 to get 75.

$$\frac{75}{9.5\times 10^{-3}}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{75}{9.5\times \frac{1}{1000}}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Multiply 9.5 and \frac{1}{1000} to get \frac{19}{2000}.

$$\frac{75}{\frac{19}{2000}}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Divide 75 by \frac{19}{2000} by multiplying 75 by the reciprocal of \frac{19}{2000}.

$$75\times \frac{2000}{19}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Multiply 75 and \frac{2000}{19} to get \frac{150000}{19}.

$$\frac{150000}{19}+\frac{1156562.5}{3.14\times 1.5^{2}\times 9.5\times 10^{-3}}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{150000}{19}+\frac{1156562.5}{3.14\times 2.25\times 9.5\times 10^{-3}}$$

Multiply 3.14 and 2.25 to get 7.065.

$$\frac{150000}{19}+\frac{1156562.5}{7.065\times 9.5\times 10^{-3}}$$

Multiply 7.065 and 9.5 to get 67.1175.

$$\frac{150000}{19}+\frac{1156562.5}{67.1175\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{150000}{19}+\frac{1156562.5}{67.1175\times \frac{1}{1000}}$$

Multiply 67.1175 and \frac{1}{1000} to get \frac{26847}{400000}.

$$\frac{150000}{19}+\frac{1156562.5}{\frac{26847}{400000}}$$

Divide 1156562.5 by \frac{26847}{400000} by multiplying 1156562.5 by the reciprocal of \frac{26847}{400000}.

$$\frac{150000}{19}+1156562.5\times \frac{400000}{26847}$$

Multiply 1156562.5 and \frac{400000}{26847} to get \frac{462625000000}{26847}.

$$\frac{150000}{19}+\frac{462625000000}{26847}$$

Add \frac{150000}{19} and \frac{462625000000}{26847} to get \frac{462836950000}{26847}.

$$\frac{462836950000}{26847}$$

Factor

$$\frac{43 \cdot 215273 \cdot 2 ^ {4} \cdot 5 ^ {5}}{19 \cdot 157 \cdot 3 ^ {2}} = 17239801\frac{12553}{26847} = 17239801.46757552$$