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\( c = \frac{54}{5} \) or \( c = 10.8 \)
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To solve the equation \( \frac{5}{6} c = 9 \), you want to isolate \( c \). To do this, multiply both sides of the equation by the reciprocal of \( \frac{5}{6} \), which is \( \frac{6}{5} \): \[ c = 9 \times \frac{6}{5} \] Calculating that gives: \[ c = \frac{54}{5} \] To express it as a mixed number, \( \frac{54}{5} = 10.8 \). So, the solution is: \[ c = 10.8 \]
