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What is the least common denominator (LCD) of 3/14 and 3/8?

(A) 24
(B) 56
(C) 112
(D) 448

1 Answer

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Final answer:

The least common denominator (LCD) of 3/14 and 3/8 is 56.

Step-by-step explanation:

The least common denominator (LCD) of two fractions is the smallest number that both denominators can be divided evenly by. To find the LCD of 3/14 and 3/8, we need to find the least common multiple (LCM) of the denominators, which are 14 and 8. The prime factorization of 14 is 2 x 7, and the prime factorization of 8 is 2 x 2 x 2. The LCM is the product of the highest powers of all the prime factors, so the LCM of 14 and 8 is 2 x 2 x 2 x 7 = 56.

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