Question

1. a paramedic maintains a time - card for hours she works on the rescue squad. how many hours did she work per week?

day of week	hours worked
monday	8 1/4
tuesday	0
wednesday	7 3/4
thursday	8 1/12
friday	8 5/12
saturday	0
total

1. a hospice nurse administers 1/6 grain (gr) of morphine sulfate to a cancer patient. four hours later, she gives the patient 1/8 gr. what is the total dose of morphine given to the patient?
2. a student receives her college schedule for her first semester of study in a pharmacy technician program.

course	semester hours
orientation	1/4
study skills	1/4
anatomy and physiology	2 1/2
anatomy and physiology lab	1 1/2
advanced algebra	2 1/4
physical education	1/2

what is the total number of semester hours?

Explanation:

Step1: Convert mixed - numbers to improper fractions

Sunday: $6\frac{1}{2}=\frac{6\times2 + 1}{2}=\frac{13}{2}$; Monday: $8\frac{1}{4}=\frac{8\times4+1}{4}=\frac{33}{4}$; Wednesday: $7\frac{3}{4}=\frac{7\times4 + 3}{4}=\frac{31}{4}$; Thursday: $8\frac{1}{12}=\frac{8\times12+1}{12}=\frac{97}{12}$; Friday: $8\frac{5}{12}=\frac{8\times12 + 5}{12}=\frac{101}{12}$

Step2: Find a common denominator

The common denominator of 2, 4, and 12 is 12.
$\frac{13}{2}=\frac{13\times6}{2\times6}=\frac{78}{12}$; $\frac{33}{4}=\frac{33\times3}{4\times3}=\frac{99}{12}$; $\frac{31}{4}=\frac{31\times3}{4\times3}=\frac{93}{12}$

Step3: Add the fractions

$\frac{78}{12}+\frac{99}{12}+0+\frac{93}{12}+\frac{97}{12}+\frac{101}{12}+0=\frac{78 + 99+0 + 93+97+101+0}{12}=\frac{468}{12}=39$

Step1: Add the fractions of morphine doses

We need to add $\frac{1}{6}$ and $\frac{1}{8}$. The common denominator of 6 and 8 is 24.
$\frac{1}{6}=\frac{1\times4}{6\times4}=\frac{4}{24}$; $\frac{1}{8}=\frac{1\times3}{8\times3}=\frac{3}{24}$

Step2: Calculate the sum

$\frac{4}{24}+\frac{3}{24}=\frac{4 + 3}{24}=\frac{7}{24}$

Step1: Convert mixed - numbers to improper fractions

Orientation: $\frac{1}{4}$; Study Skills: $\frac{1}{4}$; Anatomy and Physiology: $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$; Anatomy and Physiology Lab: $1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$; Advanced Algebra: $2\frac{1}{4}=\frac{2\times4+1}{4}=\frac{9}{4}$; Physical Education: $\frac{1}{2}$; Communications: 2

Step2: Find a common denominator

The common denominator of 2, 4 is 4.
$2=\frac{2\times4}{4}=\frac{8}{4}$; $\frac{5}{2}=\frac{5\times2}{2\times2}=\frac{10}{4}$; $\frac{3}{2}=\frac{3\times2}{2\times2}=\frac{6}{4}$; $\frac{1}{2}=\frac{1\times2}{2\times2}=\frac{2}{4}$

Step3: Add the fractions

$\frac{8}{4}+\frac{1}{4}+\frac{1}{4}+\frac{10}{4}+\frac{6}{4}+\frac{9}{4}+\frac{2}{4}=\frac{8 + 1+1+10+6+9+2}{4}=\frac{37}{4}=9\frac{1}{4}$

Answer:

39