To subtract the fractions \( \frac{8}{11} - \frac{1}{3} \), we first need to find a common denominator. The denominators are 11 and 3. The least common multiple of 11 and 3 is 33.
Next, we convert each fraction to have a denominator of 33.
-
For \( \frac{8}{11} \): \[ \frac{8}{11} = \frac{8 \times 3}{11 \times 3} = \frac{24}{33} \]
-
For \( \frac{1}{3} \): \[ \frac{1}{3} = \frac{1 \times 11}{3 \times 11} = \frac{11}{33} \]
Now we can subtract the two fractions with the common denominator: \[ \frac{24}{33} - \frac{11}{33} = \frac{24 - 11}{33} = \frac{13}{33} \]
The fraction \( \frac{13}{33} \) is already in its simplest form because 13 is a prime number and does not divide 33.
Thus, the final answer is: \[ \frac{13}{33} \]
So, \( \frac{8}{11} - \frac{1}{3} = \frac{13}{33} \).
The answer is: 13/33