Final answer:
The common denominator for 1/4 and 1/3 is 12, which is the least common multiple of 4 and 3. The correct answer from the given options is b) 12.
Step-by-step explanation:
To find a common denominator for the fractions 1/4 and 1/3, we need to find the smallest number that both 4 and 3 can divide into without any remainder. This is also known as the least common denominator (LCD).
The multiples of 4 are 4, 8, 12, 16, and so on. The multiples of 3 are 3, 6, 9, 12, 15, and so on. The smallest number that appears in both lists is 12. Therefore, the common denominator that would work for both 1/4 and 1/3 is 12.
Among the options given:
- a) 7 is not a multiple of either 4 or 3.
- b) 12 is a multiple of both 4 and 3.
- c) 24 is also a multiple of both but not the smallest.
- d) 10 is not a multiple of either 4 or 3.
Therefore, the correct answer is b) 12.