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\frac{0.1}{0.18}\times 20
Add 0.1 and 0.08 to get 0.18.
\frac{10}{18}\times 20
Expand \frac{0.1}{0.18} by multiplying both numerator and the denominator by 100.
\frac{5}{9}\times 20
Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.
\frac{5\times 20}{9}
Express \frac{5}{9}\times 20 as a single fraction.
\frac{100}{9}
Multiply 5 and 20 to get 100.