Question

Which of the following correctly compares 7 and 14/16 using the symbols (<, >, =)?

A. 7 > 14/16
B. 7 = 14/16
C. 7 < 14/16
D. None of the above

Answer 1

The correct comparison between 7 and 14/16 is 7 > 14/16 because 7/8, which is the simplified form of 14/16, is less than 1.

Step-by-step explanation:

The question asks us to compare 7 and 14/16 using comparison symbols. To do this, we must first simplify 14/16 to its lowest terms, which is 7/8. Since 7/8 is less than 1, and we are comparing it to 7, we conclude that 7 is greater than 7/8. Therefore, 7 is certainly greater than 14/16.

7 > 14/16

When comparing numbers, it is crucial to ensure that we compare like quantities. Simplifying fractions helps in such comparisons and enables us to use correct mathematical symbols to express the relation between the two numbers.