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\frac{1}{4.5}
Add 1.8 and 2.7 to get 4.5.
\frac{10}{45}
Expand \frac{1}{4.5} by multiplying both numerator and the denominator by 10.
\frac{2}{9}
Reduce the fraction \frac{10}{45} to lowest terms by extracting and canceling out 5.