Final answer:
The fraction (23)/(7) cannot be converted into an equivalent fraction with a denominator of 12 without changing its value, since 7 is not a factor of 12. A common denominator of 12 is not possible for this fraction.
Step-by-step explanation:
Equivalent Fractions with a Denominator of 12
To write the fraction (23)/(7) as equivalent fractions with a denominator of 12, you would need to find a common denominator and then adjust the numerator accordingly. Firstly, the fraction (23)/(7) cannot be directly converted to have a denominator of 12 without changing its value because 7 is not a factor of 12. Instead, we can create an equivalent fraction by finding a number that both denominators can divide evenly into, also known as a common multiple. In this case, however, since 7 does not factor into 12, we cannot find a common multiple that is exactly 12.
We could scale up the fraction (23)/(7) by a number that would provide us with a new denominator that is a multiple of 12, but this technique does not help us in this situation because we specifically need a denominator of 12. Therefore, the fraction (23)/(7) cannot be rewritten with a denominator of 12 without altering its value.