0.9 + c/1 + c/2 + c/3 + c/4 + c/5 + c/6 = 1

asked by guest
on Nov 25, 2024 at 5:19 am



You asked:

Solve the equation \(0.9 + \frac{c}{1} + \frac{c}{2} + \frac{c}{3} + \frac{c}{4} + \frac{c}{5} + \frac{c}{6} = 1\) for the variable \(c\).

MathBot Answer:

The solution is: \[c = \frac{2}{49} = 0.0\overline{408163265306122448979591836734693877551020}\]

\[\begin{aligned}0.9 + \frac{c}{1} + \frac{c}{2} + \frac{c}{3} + \frac{c}{4} + \frac{c}{5} + \frac{c}{6} &= 1\\2.45 c + 0.9 &= 1\\2.45 c &= 0.1\\c &= \frac{2}{49}\end{aligned}\]

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