SSC CGL 2023 PYQ — Question 70

The correct answer is option 2 i.e. $\frac{13}{18}$.

According to the given question,

Comparing the given fractions, $\frac{5}{6}\ and\ \frac{7}{9}$

Cross multiplying the fractions, 45 > 42

⇒ $\frac{5}{6}\ > \frac{7}{9}$

Comparing the fractions, $\frac{11}{12}\ and\ \frac{7}{9}$

Cross multiplying the fractions, 99 > 84

⇒ $\frac{11}{12} >\frac{7}{9}$

Comparing the fractions, $\frac{13}{18}\ and\ \frac{7}{9}$

Cross multiplying the fractions, 117 < 126

⇒ $\frac{13}{18} < \frac{7}{9}$

Hence the smallest fraction is $\frac{13}{18}$.