What is the largest common denominator for the fractions below? (Round the answer to the nearest integer.) 1/2, 2/3, 4/5

Rationale

The largest common denominator for the fractions 1/2, 2/3, 4/5 is 30.

This is determined by finding the least common multiple (LCM) of the denominators of the given fractions. The LCM of 2, 3, and 5 is 30.

A (30) CORRECT

The LCM of 2, 3, and 5 is 30. This means that 30 is the smallest number that all three denominators (2, 3, and 5) can divide into evenly. Therefore, 30 is the largest common denominator for the fractions 1/2, 2/3, 4/5.

B (2) YOUR ANSWER

While 2 is a common factor of the denominators, it is not the largest common denominator. The largest common denominator is found by calculating the LCM of the denominators, which in this case is 30.

C (3) YOUR ANSWER

Like 2, 3 is also a common factor of the denominators. However, it is not the largest common denominator. The LCM of the denominators is 30, making it the largest common denominator.

D (5) YOUR ANSWER

Although 5 is a factor of the denominators, it is not the largest common denominator. The LCM of the denominators is 30, which is the largest common denominator.

Conclusion

The largest common denominator for the fractions 1/2, 2/3, and 4/5 is 30. This is found by calculating the least common multiple of the denominators. The choices 2, 3, and 5 are all factors of the denominators, but they are not the largest common denominator. The largest common denominator is the smallest number into which all the denominators can divide evenly, which is 30 in this case.

What is the largest common denominator for the fractions below? (Round the answer to the nearest integer.) 1/2, 2/3, 4/5

The largest common denominator for the fractions 1/2, 2/3, 4/5 is 30.

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