A) \[\frac{77}{210}\]
B) \[\frac{129}{{{2}^{2}}\times {{5}^{7}}\times {{7}^{5}}}\]
C) \[\frac{13}{3125}\]
D) \[\frac{8}{17}\]
Correct Answer: C
Solution :
| [a] Here denominator \[=210=2\times 3\times 5\times 7\] which is not the form of \[{{2}^{n}}\,{{5}^{m}}\] so it is not terminating. |
| [b] Here denominator \[={{2}^{2}}\times {{5}^{7}}\times {{7}^{5}}\] which is not the form of \[{{2}^{n}}\,{{5}^{m}}\] so it is not terminating. |
| [c] Here denominator \[=3125={{5}^{5}}\]which is the form of \[{{2}^{n}}\,{{5}^{m}}\] so it is terminating. Hence option [c] is correct. |
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