Question : Find the HCF of $\frac{11}{25}, \frac{9}{20}, \frac{16}{15}$, and $\frac{10}{33}$.
Option 1: $\frac{1}{3300}$
Option 2: $\frac{1}{330}$
Option 3: $\frac{1}{33}$
Option 4: $\frac{1}{300}$
Correct Answer: $\frac{1}{3300}$
Solution :
The highest common factor (HCF) of fractions is calculated as the HCF of the numerators divided by the least common multiple (LCM) of the denominators.
The numerators of the given fractions are 11, 9, 16, and 10.
The HCF of these numbers is 1.
The denominators of the given fractions are 25, 20, 15, and 33.
The LCM of these numbers is 3300.
Therefore, the HCF of the given fractions is $\frac{1}{3300}$.
Hence, the correct answer is $\frac{1}{3300}$.
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