Question

solve the equation for the unknown.
\\(\frac{5}{11}c = 6\\)
\\(c = \square\\) (simplify your answer.)

Explanation:

Step1: Multiply both sides by 11/5

To isolate \( c \), we multiply both sides of the equation \(\frac{5}{11}c = 6\) by the reciprocal of \(\frac{5}{11}\), which is \(\frac{11}{5}\). So we have \( c = 6\times\frac{11}{5} \).

Step2: Calculate the product

Multiply 6 and \(\frac{11}{5}\). \( 6\times\frac{11}{5}=\frac{6\times11}{5}=\frac{66}{5} \).

Answer:

\(\frac{66}{5}\)