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\frac{180}{2}=\frac{x}{\frac{1}{4}}
Expand \frac{18}{0.2} by multiplying both numerator and the denominator by 10.
90=\frac{x}{\frac{1}{4}}
Divide 180 by 2 to get 90.
\frac{x}{\frac{1}{4}}=90
Swap sides so that all variable terms are on the left hand side.
x=90\times \frac{1}{4}
Multiply both sides by \frac{1}{4}.
x=\frac{90}{4}
Multiply 90 and \frac{1}{4} to get \frac{90}{4}.
x=\frac{45}{2}
Reduce the fraction \frac{90}{4} to lowest terms by extracting and canceling out 2.