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-1+\frac{2}{9}\times \frac{1}{5}
Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
-1+\frac{2\times 1}{9\times 5}
Multiply \frac{2}{9} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.
-1+\frac{2}{45}
Do the multiplications in the fraction \frac{2\times 1}{9\times 5}.
-\frac{45}{45}+\frac{2}{45}
Convert -1 to fraction -\frac{45}{45}.
\frac{-45+2}{45}
Since -\frac{45}{45} and \frac{2}{45} have the same denominator, add them by adding their numerators.
-\frac{43}{45}
Add -45 and 2 to get -43.