Question

A surgical nurse works 2 1/4 hours in preoperative care, 3 1/2 hours in the operating room, and 2 3/4 hours in the recovery room. What is the total number of hours worked? Answer in decimal form and rounded to the nearest hundredth Place

Answer 1

Answer:

8.5h

Explanation:

$2\frac{1}{4} +3\frac{1}{2} +2\frac{3}{4}$

$=\frac{9}{4} +\frac{7}{2} +\frac{11}{4}$ convert from mixed number to improper fraction

$=\frac{9}{4} +\frac{14}{4} +\frac{11}{4}$ convert middle term to the same denominator by multiplying top and bottom of 7/2 by 2.

$=\frac{9+14+11}{4}$ combine fractions because of common denominator

$=\frac{34}{4}$ added the numbers in the numerator

$=\frac{17}{2}$ final answer in fraction form

$=8.5$ convert to decimal form by dividing numerator by denominator

The nurse worked 8.5 hours.