Solve for c
c=\frac{6544}{670761}\approx 0.009756083
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\left(\frac{819}{819}-\frac{1}{819}\right)\times 40=4095c
Convert 1 to fraction \frac{819}{819}.
\frac{819-1}{819}\times 40=4095c
Since \frac{819}{819} and \frac{1}{819} have the same denominator, subtract them by subtracting their numerators.
\frac{818}{819}\times 40=4095c
Subtract 1 from 819 to get 818.
\frac{818\times 40}{819}=4095c
Express \frac{818}{819}\times 40 as a single fraction.
\frac{32720}{819}=4095c
Multiply 818 and 40 to get 32720.
4095c=\frac{32720}{819}
Swap sides so that all variable terms are on the left hand side.
c=\frac{\frac{32720}{819}}{4095}
Divide both sides by 4095.
c=\frac{32720}{819\times 4095}
Express \frac{\frac{32720}{819}}{4095} as a single fraction.
c=\frac{32720}{3353805}
Multiply 819 and 4095 to get 3353805.
c=\frac{6544}{670761}
Reduce the fraction \frac{32720}{3353805} to lowest terms by extracting and canceling out 5.
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