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\frac{27.5}{55}=x
Divide both sides by 55.
\frac{275}{550}=x
Expand \frac{27.5}{55} by multiplying both numerator and the denominator by 10.
\frac{1}{2}=x
Reduce the fraction \frac{275}{550} to lowest terms by extracting and canceling out 275.
x=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.