Final answer:
To find the common denominator of 11/12 and 2/3, we use 12 as the common denominator since it is a multiple of both denominators. The modified expression is 11/12 - 8/12, resulting in 3/12 which simplifies to 1/4.
Step-by-step explanation:
The question asks to find the common denominator for the expression 11/12 - 2/3. To do this, we look for the smallest number that both denominators (12 and 3) can divide into evenly. The number 12 is already a multiple of 3, so 12 is our common denominator. To express 2/3 with a denominator of 12, we multiply both the numerator and the denominator by 4, which gives us 8/12. Hence, the expression with a common denominator is 11/12 - 8/12.
When subtracting these fractions, we keep the common denominator and subtract only the numerators: 11 - 8, which equals 3. So, the resultant fraction is 3/12. We can simplify this by dividing both the numerator and the denominator by their greatest common divisor, which is 3, yielding the simplified answer of 1/4.