Question : The greatest number among the following
$\frac{4}{9},\sqrt{\frac{9}{49}},0.\overline{47},(0.7)^{2}$ is:
Option 1: $\frac{4}{9}$
Option 2: $\sqrt{\frac{9}{49}}$
Option 3: $0.\overline{47}$
Option 4: $(0.7)^{2}$
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Correct Answer: $(0.7)^{2}$
Solution :
$\frac{4}{9} = 0.44$
$\sqrt{\frac{9}{49}} = \frac{3}{7} = 0.42$
$0.\overline{47} = 0.4747........$
$(0.7)^{2} = 0.49$
So, the largest number among these is $(0.7)^{2}$.
Hence, the correct answer is $(0.7)^{2}$.
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