A) \[\frac{11}{19}\]
B) \[\frac{17}{29}\]
C) \[\frac{13}{15}\]
D) \[\frac{11}{13}\]
Correct Answer: C
Solution :
| Given expression |
| \[=\frac{1}{1+\frac{(2/3)}{1+\frac{2}{3}+\frac{(8/9)}{(1/3)}}}=\frac{1}{1+\frac{(2/3)}{1+\frac{2}{3}+\frac{8}{9}\times \frac{3}{1}}}\] |
| \[=\frac{1}{1+\frac{(2/3)}{1+\frac{2}{3}+\frac{8}{3}}}=\frac{1}{1+\frac{(2/3)}{(13/3)}}\] |
| \[=\frac{1}{1+\frac{2}{3}\times \frac{3}{13}}=\frac{1}{1+\frac{2}{13}}\] |
| \[=\frac{1}{(15/13)}=\frac{13}{15}\] |
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