Aptitude Question ID : 92800

The least number among \frac{4}{9}, \sqrt{\frac{9}{49}}, 0.\overline{45} and \left ( 0.8 \right )^{2} is :
[A]0.\overline{45}
[B]\left ( 0.8 \right )^{2}
[C]\frac{4}{9}
[D]\sqrt{\frac{9}{49}}

\mathbf{\sqrt{\frac{9}{49}}}
Decimal equivalents :
\frac{4}{9} = 0.\bar4 ,
\sqrt{\frac{9}{49}} = \frac{3}{7} = 0.43
0.\overline{45},
\left ( 0.8 \right )^{2} = 0.64
∴ Least Number is,
= 0.43 = \sqrt{\frac{9}{49}}
Hence option [D] is the right answer.

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