The value of $$0.\overline {45} \times 1.\overline {22} $$ is:
A. $$0.\overline 3 $$
B. $$0.\overline 4 $$
C. $$0.\overline 6 $$
D. $$0.\overline 5 $$
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & 0.\overline {45} \times 1.\overline {22} \cr & = \frac{{45}}{{99}} \times \frac{{122 - 1}}{{99}} \cr & = \frac{{45}}{{99}} \times \frac{{121}}{{99}} \cr & = \frac{5}{9} \cr & = 0.\overline 5 {\text{ Answer}} \cr} $$This Question Belongs to Arithmetic Ability >> Simplification
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