A) \[\frac{13}{8}\]
B) \[\frac{3}{16}\]
C) \[\frac{3}{11}\]
D) \[\frac{137}{25}\]
Correct Answer: C
Solution :
\[\because \] \[\frac{13}{8}=\frac{13}{8}\times \frac{125}{125}=\frac{1625}{1000}=1.625\] \[\frac{3}{16}=\frac{3\times 625}{16\times 625}=\frac{1875}{10000}=0.1875\] \[\frac{137}{25}=\frac{137\times 4}{25\times 4}=\frac{548}{100}=5.48\] From above it is clear that all of these are terminating and decimals Hence, \[\frac{3}{11}\] is a non-terminating and repeating decimal.
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