Which of the following numbers is greatest?

Rationale

7/10 is the greatest number among the choices provided.

To determine which fraction is greatest, we can convert each option into decimal form or find a common denominator. When evaluated, 7/10 equals 0.7, which is greater than the decimal values of the other fractions.

A ({3/7}) YOUR ANSWER

3/7 converts to approximately 0.4286. While it is a positive fraction, it is significantly less than 0.7, making it the smallest choice among the options provided.

B ({7/10}) CORRECT

7/10 equals 0.7, which is the highest value compared to the other fractions. This fraction represents a value greater than half and confirms its position as the greatest number among the choices.

C ({9/15}) YOUR ANSWER

9/15 simplifies to 3/5, which equals 0.6. Although it is larger than 3/7, it is still less than 7/10, confirming that it does not surpass the value of 0.7.

D ({11/20}) YOUR ANSWER

11/20 equals 0.55, which is lower than both 7/10 and 9/15. Thus, it is not the greatest number among the options, placing it behind the others in value.

Conclusion

Among the fractions given, 7/10 stands out as the largest due to its decimal equivalent of 0.7. The other fractions—3/7, 9/15, and 11/20—are all lesser values when converted, confirming that none surpass 7/10 in magnitude. This exercise demonstrates the importance of comparing fractions through either decimal conversion or common denominators to ascertain their relative sizes.

Which of the following numbers is greatest?

7/10 is the greatest number among the choices provided.

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