Nurse A is responsible for 1/4 of the patients on the floor. If Nurse B takes 1/2 of Nurse A's patients, what fraction of the total patients on the floor are Nurse B's responsibility?

Rationale

Nurse B is responsible for 1/8 of the total patients on the floor.

This is calculated by taking half of Nurse A's patients, which is 1/2 of 1/4, resulting in 1/8.

A (3/4) YOUR ANSWER

This choice suggests that Nurse B is responsible for 3/4 of the patients. However, Nurse B only took over half of Nurse A's patients, not 3/4. Nurse A's responsibility was 1/4 of the patients, and half of this is 1/8, not 3/4.

C (1/6) YOUR ANSWER

This choice suggests that Nurse B is responsible for 1/6 of the patients. However, Nurse B took over half of Nurse A's patients, which equates to 1/8 of the total patients on the floor, not 1/6.

D (1/4) YOUR ANSWER

This choice suggests that Nurse B is responsible for 1/4 of the patients. However, Nurse B only took over half of Nurse A's patients. Since Nurse A was responsible for 1/4 of the patients, half of this is 1/8, not 1/4.

Conclusion

The question asks for the fraction of the total patients on the floor that Nurse B is responsible for. Nurse B took over half of Nurse A's patients, which is 1/2 of 1/4, or 1/8 of the total patients. The other options, 3/4, 1/6 and 1/4, do not accurately represent the fraction of patients that Nurse B is responsible for, making option B the correct answer.

Nurse A is responsible for 1/4 of the patients on the floor. If Nurse B takes 1/2 of Nurse A's patients, what fraction of the total patients on the floor are Nurse B's responsibility?

Nurse B is responsible for 1/8 of the total patients on the floor.

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