Solve 12410/2.303*8.314[10/300*310]

$$\frac { 12410 } { 2.303 \times 8.314 } [ \frac { 10 } { 300 \times 310 } ]$$

Evaluate

$$\frac{62050000}{890342103}\approx 0.069692312$$

Solution Steps

Multiply 2.303 and 8.314 to get 19.147142.

$$\frac{12410}{19.147142}\times \frac{10}{300\times 310}$$

Expand \frac{12410}{19.147142} by multiplying both numerator and the denominator by 1000000.

$$\frac{12410000000}{19147142}\times \frac{10}{300\times 310}$$

Reduce the fraction \frac{12410000000}{19147142} to lowest terms by extracting and canceling out 2.

$$\frac{6205000000}{9573571}\times \frac{10}{300\times 310}$$

Multiply 300 and 310 to get 93000.

$$\frac{6205000000}{9573571}\times \frac{10}{93000}$$

Reduce the fraction \frac{10}{93000} to lowest terms by extracting and canceling out 10.

$$\frac{6205000000}{9573571}\times \frac{1}{9300}$$

Multiply \frac{6205000000}{9573571} times \frac{1}{9300} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6205000000\times 1}{9573571\times 9300}$$

Do the multiplications in the fraction \frac{6205000000\times 1}{9573571\times 9300}.

$$\frac{6205000000}{89034210300}$$

Reduce the fraction \frac{6205000000}{89034210300} to lowest terms by extracting and canceling out 100.

$$\frac{62050000}{890342103}$$

Factor

$$\frac{17 \cdot 73 \cdot 2 ^ {4} \cdot 5 ^ {5}}{3 \cdot 31 \cdot 47 \cdot 4157 \cdot 7 ^ {2}} = 0.06969231241668013$$