To subtract the fractions \( \frac{4}{5} - \frac{4}{11} \), we first need a common denominator. The least common multiple of 5 and 11 is 55.
Next, we will convert each fraction:
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Convert \( \frac{4}{5} \) to a fraction with a denominator of 55: \[ \frac{4}{5} = \frac{4 \times 11}{5 \times 11} = \frac{44}{55} \]
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Convert \( \frac{4}{11} \) to a fraction with a denominator of 55: \[ \frac{4}{11} = \frac{4 \times 5}{11 \times 5} = \frac{20}{55} \]
Now, we can subtract the two fractions: \[ \frac{44}{55} - \frac{20}{55} = \frac{44 - 20}{55} = \frac{24}{55} \]
So, \( \frac{4}{5} - \frac{4}{11} = \frac{24}{55} \).