A) \[\frac{7}{9}\]
B) \[1\frac{2}{9}\]
C) \[\frac{17}{9}\]
D) \[1\frac{4}{9}\]
Correct Answer: B
Solution :
\[\frac{1}{3}+\frac{7}{9}\div \left( \frac{7}{10}\times 1\frac{1}{4} \right)\Rightarrow \frac{1}{3}+\frac{7}{9}\div \left( \frac{7}{10}\times \frac{5}{4} \right)\] \[\Rightarrow \frac{1}{3}+\frac{7}{9}\div \frac{7}{8}\Rightarrow \frac{1}{3}+\frac{7}{9}\times \frac{8}{7}\] \[\Rightarrow \frac{1}{3}+\frac{8}{9}\Rightarrow \frac{9+24}{27}\Rightarrow \frac{33}{27}\Rightarrow 1\frac{6}{27}\,\,\text{or}\,1\frac{2}{9}\]
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