Question:

Which of the following is true? \[ \text{Quantity A: } \frac{12}{11} \div \frac{7}{6}, \quad \text{Quantity B: } \frac{17}{8} \div \frac{7}{6} \]

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To compare fractions, cross-multiply and check which side is larger.
Updated On: Sep 30, 2025
  • The relationship between the quantities cannot be determined.
  • Quantity B is larger.
  • The two quantities are equal.
  • Quantity A is larger.
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The Correct Option is D

Solution and Explanation

Step 1: Simplify both quantities.
For Quantity A: \[ \frac{12}{11} \div \frac{7}{6} = \frac{12}{11} \times \frac{6}{7} = \frac{72}{77}. \] For Quantity B: \[ \frac{17}{8} \div \frac{7}{6} = \frac{17}{8} \times \frac{6}{7} = \frac{102}{56} = \frac{51}{28}. \]
Step 2: Comparison.
We compare \( \frac{72}{77} \) and \( \frac{51}{28} \). By cross-multiplying, we find that Quantity A is larger.
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