Kaplan Nursing Entrance Practice Exam

What is the simplified result of 17 - 15 7/12?

1. 1 5/12

2. 17/12

3. 2 1/12

4. 0 1/12

The correct answer is: 17/12

To simplify the expression 17 - 15 7/12, it is helpful to convert the whole number and mixed number so that they share a common format. Begin by converting 17 into a mixed number format as 17/1. To perform the subtraction more easily, it can be helpful to convert every number into a fraction. Start by expressing 17 in terms of twelfths, which means multiplying by 12/12 to keep the value equivalent. So, 17 becomes 204/12. Next, express 15 7/12 as an improper fraction. You do this by multiplying the whole number (15) by the denominator (12), which gives you 180. Then add the numerator (7), leading to 180 + 7 = 187, meaning 15 7/12 can be expressed as 187/12. Now, you can perform the subtraction: 204/12 - 187/12 = (204 - 187)/12 = 17/12. The option that corresponds to this result is indeed 17/12. This conversion and simplification method reveals how the subtraction of mixed numbers can be simplified through the use of common denominators, ensuring that the final answer retains