Solve 1241/2303*8314*10^-3[1/300-1/310]

$$\frac { 1241 } { 2303 \times 8314 \times 10 ^ { - 3 } } [ \frac { 1 } { 300 } - \frac { 1 } { 310 } ]$$

Evaluate

$$\frac{6205}{890342103}\approx 0.000006969$$

Solution Steps

Multiply 2303 and 8314 to get 19147142.

$$\frac{1241}{19147142\times 10^{-3}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

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

$$\frac{1241}{19147142\times \frac{1}{1000}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiply 19147142 and \frac{1}{1000} to get \frac{9573571}{500}.

$$\frac{1241}{\frac{9573571}{500}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Divide 1241 by \frac{9573571}{500} by multiplying 1241 by the reciprocal of \frac{9573571}{500}.

$$1241\times \frac{500}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiply 1241 and \frac{500}{9573571} to get \frac{620500}{9573571}.

$$\frac{620500}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Subtract \frac{1}{310} from \frac{1}{300} to get \frac{1}{9300}.

$$\frac{620500}{9573571}\times \frac{1}{9300}$$

Multiply \frac{620500}{9573571} and \frac{1}{9300} to get \frac{6205}{890342103}.

$$\frac{6205}{890342103}$$

Factor

$$\frac{5 \cdot 17 \cdot 73}{3 \cdot 7 ^ {2} \cdot 31 \cdot 47 \cdot 4157} = 6.969231241668013 \times 10^{-6}$$