Question : What is the Highest Common Factor of $\frac{3}{8}$ and $\frac{4}{9}$?
Option 1: $\frac{1}{18}$
Option 2: $\frac{1}{108}$
Option 3: $\frac{1}{36}$
Option 4: $\frac{1}{72}$
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Correct Answer: $\frac{1}{72}$
Solution : We know, HCF of fraction = $\frac{\text{HCF of numerator}}{\text{LCM of denominator}}$ Now, HCF of 3 and 4 = 1 and LCM of 8 and 9 = 8 × 9 = 72 ⇒ HCF of $\frac{3}{8}$ and $\frac{4}{9}$ = $\frac{1}{72}$ Hence, the correct answer is $\frac{1}{72}$.
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Question : What is the Highest Common Factor of $\frac{4}{55}$, $\frac{2}{11}$, and $\frac{8}{22}$?
Option 1: $\frac{1}{66}$
Option 2: $\frac{3}{88}$
Option 3: $\frac{2}{55}$
Option 4: $\frac{1}{55}$
Question : What is the value of $\frac{72}{22} \times \frac{11}{3} \div \frac{21}{9}$ of $\frac{18}{7} ?$
Option 1: 6
Option 2: 36
Option 3: 8
Option 4: 2
Question : What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24, and 36?
Option 1: 3 : 1
Option 2: 4 : 1
Option 3: 6 : 1
Option 4: 2 : 1
Question : What is the value of $\frac{1}{7} \times \frac{1}{8} \div \frac{72}{51}$ of $(\frac{1}{9}+\frac{1}{8})+(\frac{63}{56} \times \frac{48}{72})$?
Option 1: $\frac{21}{56}$
Option 2: $\frac{19}{56}$
Option 3: $\frac{45}{56}$
Option 4: $\frac{15}{56}$
Question : Determine the correct answer for $(\frac{1}{8}+\frac{9}{4}-3)$:
Option 1: $\frac{2}{8}$
Option 2: $\frac{7}{8}$
Option 3: $-\frac{5}{8}$
Option 4: $-\frac{3}{8}$
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