Solve for P_e
P_{e}=0.8569
Assign P_e
P_{e}≔0.8569
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P_{e}=0.1353+0.2706+0.1353\times 2+\frac{0.1353\times 8}{6}
Multiply 0.1353 and 2 to get 0.2706.
P_{e}=0.4059+0.1353\times 2+\frac{0.1353\times 8}{6}
Add 0.1353 and 0.2706 to get 0.4059.
P_{e}=0.4059+0.2706+\frac{0.1353\times 8}{6}
Multiply 0.1353 and 2 to get 0.2706.
P_{e}=0.6765+\frac{0.1353\times 8}{6}
Add 0.4059 and 0.2706 to get 0.6765.
P_{e}=0.6765+\frac{1.0824}{6}
Multiply 0.1353 and 8 to get 1.0824.
P_{e}=0.6765+\frac{10824}{60000}
Expand \frac{1.0824}{6} by multiplying both numerator and the denominator by 10000.
P_{e}=0.6765+\frac{451}{2500}
Reduce the fraction \frac{10824}{60000} to lowest terms by extracting and canceling out 24.
P_{e}=\frac{1353}{2000}+\frac{451}{2500}
Convert decimal number 0.6765 to fraction \frac{6765}{10000}. Reduce the fraction \frac{6765}{10000} to lowest terms by extracting and canceling out 5.
P_{e}=\frac{6765}{10000}+\frac{1804}{10000}
Least common multiple of 2000 and 2500 is 10000. Convert \frac{1353}{2000} and \frac{451}{2500} to fractions with denominator 10000.
P_{e}=\frac{6765+1804}{10000}
Since \frac{6765}{10000} and \frac{1804}{10000} have the same denominator, add them by adding their numerators.
P_{e}=\frac{8569}{10000}
Add 6765 and 1804 to get 8569.
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