Which of the following fractions is the largest?

Rationale

3/6 is the largest fraction among the given options.

When comparing fractions with the same numerator, the fraction with the smallest denominator is the largest. In this case, 3/6 has the smallest denominator among the choices, making it the largest fraction.

A (3/8) YOUR ANSWER

The fraction 3/8 has a larger denominator than 3/6, which means it represents a smaller part of a whole. Specifically, 3 out of 8 parts is less than 3 out of 6 parts, making 3/8 a smaller fraction than 3/6.

B (3/7) YOUR ANSWER

Similarly, 3/7 has a larger denominator than 3/6. Therefore, 3 out of 7 parts is also less than 3 out of 6 parts. Although it is larger than 3/8, it is still smaller than 3/6.

C (3/9) YOUR ANSWER

The fraction 3/9 has the largest denominator among all the options. Thus, 3 out of 9 parts represents a smaller quantity than 3 out of 6 parts. Consequently, 3/9 is less than both 3/6 and 3/7.

D (3/6) CORRECT

As established, 3/6 has the smallest denominator among the choices given, hence it is the largest fraction. It represents half of a whole, which is larger than the other fractions listed.

Conclusion

When comparing fractions with a common numerator, the size of the denominator directly influences the size of the fraction. In this case, 3/6 is the largest fraction because it has the smallest denominator, making it greater than 3/8, 3/7, and 3/9. Understanding this principle is crucial for accurately assessing the relative sizes of fractions.

Which of the following fractions is the largest?

3/6 is the largest fraction among the given options.

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