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x=5.5\times \frac{2}{55}
Multiply both sides by \frac{2}{55}, the reciprocal of \frac{55}{2}.
x=\frac{11}{2}\times \frac{2}{55}
Convert decimal number 5.5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.
x=\frac{11\times 2}{2\times 55}
Multiply \frac{11}{2} times \frac{2}{55} by multiplying numerator times numerator and denominator times denominator.
x=\frac{11}{55}
Cancel out 2 in both numerator and denominator.
x=\frac{1}{5}
Reduce the fraction \frac{11}{55} to lowest terms by extracting and canceling out 11.