21. Which of the following numbers is greatest?

Answer: B

Explanation:

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

The number 7/10 is the largest value when compared to the other fractions listed in the choices. This can be determined by converting each fraction to a decimal or by finding a common denominator.

A) 3/7

The value of 3/7 is approximately 0.4286. When compared to the other options, this fraction is the smallest and does not approach the size of 7/10.

B) 7/10

The value of 7/10 equals 0.7. This is higher than all other fractions provided, making it the greatest of the choices.

C) 9/15

The fraction 9/15 simplifies to 3/5, which is equal to 0.6. While this is larger than 3/7, it is still smaller than 7/10.

D) 11/20

The decimal equivalent of 11/20 is 0.55. This value is less than both 7/10 and 9/15, confirming that it is not the greatest option.

Conclusion

7/10 is definitively the greatest number among the options, as it has the highest value when compared to 3/7, 9/15, and 11/20. All other fractions fall short in value when evaluated against 7/10.