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To subtract the fractions \( \frac{3}{4} \) and \( \frac{7}{11} \), we first need a common denominator. The least common multiple of 4 and 11 is 44. Next, we convert each fraction: 1. For \( \frac{3}{4} \), we multiply the numerator and denominator by 11: \[ \frac{3}{4} = \frac{3 \times 11}{4 \times 11} = \frac{33}{44} \] 2. For \( \frac{7}{11} \), we multiply the numerator and denominator by 4: \[ \frac{7}{11} = \frac{7 \times 4}{11 \times 4} = \frac{28}{44} \] Now, we can subtract the two fractions: \[ \frac{33}{44} - \frac{28}{44} = \frac{33 - 28}{44} = \frac{5}{44} \] So, \( \frac{3}{4} - \frac{7}{11} = \frac{5}{44} \).
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