Question : Which of the following is the smallest ratio?
$\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18}$
Option 1: $\frac{7}{9}$
Option 2: $\frac{13}{18}$
Option 3: $\frac{5}{6}$
Option 4: $\frac{11}{12}$
Correct Answer: $\frac{13}{18}$
Solution :
$\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18}$
LCM of 6, 9, 12, and 18 is 36
Multiplying 36 in all fractions, we get:
$\frac{5}{6}×36, \frac{7}{9}×36, \frac{11}{12}×36, \frac{13}{18}×36$
= 30, 28, 33, 26
So, 26 is the smallest.
Hence, the correct answer is $\frac{13}{18}$.
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