To subtract the fractions \( \frac{7}{11} - \frac{7}{12} \), you first need to find a common denominator. The least common multiple of 11 and 12 is 132.
Next, you will convert each fraction:
Convert \( \frac{7}{11} \): \[ \frac{7}{11} = \frac{7 \times 12}{11 \times 12} = \frac{84}{132} \]
Convert \( \frac{7}{12} \): \[ \frac{7}{12} = \frac{7 \times 11}{12 \times 11} = \frac{77}{132} \]
Now, you can subtract the two fractions: \[ \frac{84}{132} - \frac{77}{132} = \frac{84 - 77}{132} = \frac{7}{132} \]
So, the result of \( \frac{7}{11} - \frac{7}{12} \) is \( \frac{7}{132} \).