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Essential Math and Calculations for Pharmacy Technicians

Indra K. Reddy, Mansoor A. Khan

Chapter 2

Using Fractions and Decimals in Pharmacy Math - all with Video Answers

Educators

Chapter Questions

00:35

Problem 1

Solve the following problems:

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

Nez Nikoo
Nez Nikoo
Numerade Educator
00:40

Problem 1

Solve the following problems:

$20 \frac{1}{2}-7 \frac{1}{3}-11 \frac{7}{11}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:47

Problem 1

Solve the following problems:

$19 \frac{1}{5}-\frac{3}{4}-2 \frac{2}{5}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:53

Problem 1

Solve the following problems:

$9 \frac{1}{7}-\frac{23}{5}$

Charles Machakwa
Charles Machakwa
Numerade Educator
00:53

Problem 1

Solve the following problems:

$\frac{25}{3}+3 \frac{1}{2}$

Nez Nikoo
Nez Nikoo
Numerade Educator
02:04

Problem 2

Solve the following problems:

$\frac{1}{6}+\frac{1}{3}+\frac{1}{2}$

Nick Johnson
Nick Johnson
Numerade Educator
01:14

Problem 2

Solve the following problems:

$\frac{16}{9} \times \frac{36}{64}$

Meredith Moody
Meredith Moody
Numerade Educator
00:47

Problem 2

Solve the following problems:

$\frac{1}{2} \times \frac{1}{4}$

Whitney Dillinger
Whitney Dillinger
Numerade Educator
01:52

Problem 3

Solve the following problems:

$\frac{1}{8}+\frac{1}{3}$

Amy Jiang
Amy Jiang
Numerade Educator
00:41

Problem 3

Solve the following problems:

$30 \frac{1}{2} \div 610$

Nick Johnson
Nick Johnson
Numerade Educator
00:34

Problem 3

Solve the following problems:

$3 \div \frac{1}{4}$

Victor Salazar
Victor Salazar
Numerade Educator
00:30

Problem 3

Solve the following problems:

$1 \frac{2}{3} \times 2 \frac{1}{2} \times \frac{6}{15} \times 5$

Maninder Singh
Maninder Singh
Numerade Educator
01:49

Problem 4

Solve the following problems:

$820+2 \frac{1}{2}$

Anas Venkitta
Anas Venkitta
Numerade Educator
00:28

Problem 4

Solve the following problems:

$2 \frac{1}{2} \times 2 \frac{1}{2} \times 2 \frac{1}{2} \times 2 \frac{1}{2}$

Maninder Singh
Maninder Singh
Numerade Educator
01:08

Problem 4

Solve the following problems:

$8 \frac{3}{4}-\frac{17}{24}$

James Kiss
James Kiss
Numerade Educator
00:37

Problem 4

Solve the following problems:

$7 \frac{1}{6}+\frac{5}{6}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:56

Problem 5

Solve the following problems:

$6+3 \frac{4}{5}$

John Fullerton
John Fullerton
Numerade Educator
00:56

Problem 5

Solve the following problems:

$6+3 \frac{4}{5}$

John Fullerton
John Fullerton
Numerade Educator
00:59

Problem 6

If a patient is required to take $1 / 2$ teaspoonful of a syrup 4 times a day, and if he has to continue the prescription for 4 weeks, how many bottles of syrup does he need to purchase if each bottle contains 30 teaspoonfuls of syrup?

Amy Jiang
Amy Jiang
Numerade Educator
00:24

Problem 6

Solve the following problems:

$12 \frac{7}{8}+13$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:53

Problem 7

Solve the following problems:

$5 \frac{12}{15}+3 \frac{1}{5}+6 \frac{1}{3}$

Nez Nikoo
Nez Nikoo
Numerade Educator
01:26

Problem 8

Solve the following problems:

$8 \frac{1}{2}+15 \frac{1}{2}$

Vinnu M
Vinnu M
Numerade Educator
00:53

Problem 9

Solve the following problems:

$5 \frac{1}{2}+3 \frac{1}{4}+2 \frac{1}{8}$

Nez Nikoo
Nez Nikoo
Numerade Educator
01:11

Problem 10

Solve the following problems:

$8 \frac{1}{3}+\frac{7}{9}+11 \frac{5}{6}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:34

Problem 11

Solve the following problems:

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

Victor Salazar
Victor Salazar
Numerade Educator
02:13

Problem 12

Solve the following problems:

$\frac{8}{9}-\frac{7}{11}$

Melissa Barry
Melissa Barry
Numerade Educator
01:29

Problem 13

Solve the following problems:

$3 \frac{1}{8}-1 \frac{1}{4}$

Victor Salazar
Victor Salazar
Numerade Educator
00:24

Problem 16

Solve the following problems:

$8-7 \frac{1}{2}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:28

Problem 19

Solve the following problems:

$22-11 \frac{1}{3}-2 \frac{1}{2}$

Maninder Singh
Maninder Singh
Numerade Educator
01:23

Problem 20

Solve the following problems:

$56-24 \frac{1}{5}$

Victor Salazar
Victor Salazar
Numerade Educator
00:56

Problem 22

Solve the following problems:

$\frac{3}{9} \times \frac{2}{5}$

Willis James
Willis James
Numerade Educator
01:19

Problem 23

Solve the following problems:

$\frac{4}{7} \times \frac{2}{3} \times \frac{3}{4}$

Whitney Dillinger
Whitney Dillinger
Numerade Educator
00:26

Problem 24

Solve the following problems:

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

Maninder Singh
Maninder Singh
Numerade Educator
00:56

Problem 25

Solve the following problems:

$\frac{3}{4} \times \frac{2}{3}$

Farhana Sharmin
Farhana Sharmin
Numerade Educator
00:19

Problem 26

Solve the following problems:

$\frac{5}{8} \times \frac{4}{10}$

Melissa Stefan
Melissa Stefan
Numerade Educator

Problem 27

Solve the following problems:

$14 \frac{1}{9} \times 2 \frac{1}{4}$

Check back soon!
01:42

Problem 28

Solve the following problems:

$3 \frac{1}{9} \times 8 \frac{1}{10} \times \frac{20}{7}$

Anas Venkitta
Anas Venkitta
Numerade Educator
01:28

Problem 32

Solve the following problems:

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

Meredith Moody
Meredith Moody
Numerade Educator
00:25

Problem 33

Solve the following problems:

$\frac{1}{3} \div \frac{3}{4}$

Manuel Santana
Manuel Santana
Numerade Educator
00:45

Problem 34

Solve the following problems:

$\frac{5}{7} \div \frac{10}{15}$

Julie Silva
Julie Silva
Numerade Educator
00:25

Problem 35

Solve the following problems:

$8+\frac{1}{16}$

Elizabeth Xu
Elizabeth Xu
Numerade Educator
00:35

Problem 36

Solve the following problems:

$\frac{16}{25} \div 16$

Victor Salazar
Victor Salazar
Numerade Educator
00:06

Problem 37

Solve the following problems:

$7+\frac{1}{7}$

Matt Gibson
Matt Gibson
Numerade Educator
01:48

Problem 39

Solve the following problems:

$150 \div 1 \frac{1}{2}$

K Joseph
K Joseph
Numerade Educator
01:43

Problem 41

Solve the following problems:

$\frac{3}{10}+\frac{2}{5}+\frac{6}{15}$

Melissa Salvador
Melissa Salvador
Numerade Educator
00:35

Problem 42

Solve the following problems:

$1 \frac{1}{3}+6 \frac{1}{5}+\frac{4}{5}$

Nez Nikoo
Nez Nikoo
Numerade Educator
00:52

Problem 43

Solve the following problems:

$22 \frac{1}{8}+41 \frac{1}{5}+36 \frac{9}{20}$

Nez Nikoo
Nez Nikoo
Numerade Educator
01:30

Problem 44

Solve the following problems:

$3 \frac{1}{2}+8 \frac{1}{2}+9 \frac{1}{4}+12 \frac{1}{6}+7$

Joseph Lentino
Joseph Lentino
Numerade Educator
00:19

Problem 46

Solve the following problems:

$12 \frac{1}{7}-2 \frac{1}{3}$

Amy Jiang
Amy Jiang
Numerade Educator
03:22

Problem 47

Solve the following problems:

$0 \times 22 \frac{1}{2}$

Bobby Barnes
Bobby Barnes
University of North Texas
01:48

Problem 49

Solve the following problems:

$16 \div 1 \frac{1}{2}$

K Joseph
K Joseph
Numerade Educator
01:04

Problem 50

Solve the following problems:

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

James Kiss
James Kiss
Numerade Educator
00:22

Problem 51

What is the total weight of 25 capsules when each capsule weighs $4 / 5$ grain?

Ly Tran
Ly Tran
Numerade Educator
00:59

Problem 52

A bottle contains $60 \mathrm{~mL}$ of syrup. If one dose is $3 / 4 \mathrm{~mL}$, how many doses can this bottle provide?

Amy Jiang
Amy Jiang
Numerade Educator

Problem 53

How many $1 / 2$-grain capsules can be prepared from 25 grains of a powder medication?

Check back soon!
01:41

Problem 54

If each dose is $2.5 \mathrm{~mL}$, how many doses are contained in $50 \mathrm{~mL}$ ?

Anand Jangid
Anand Jangid
Numerade Educator
00:19

Problem 55

If each capsule weighs $4 / 5$ grain, a third of which $(1 / 3)$ is the capsule shell weight, what will be the total weight of powder in 25 capsules?

Ronald Prasad
Ronald Prasad
Numerade Educator
05:12

Problem 56

Simplify the following fractions:
a. $12 / 24$
b. $6 / 9$
c. $18 / 10$
d. $10 / 9$

Debasish Das
Debasish Das
Numerade Educator
00:46

Problem 57

Convert the following mixed numbers to their corresponding improper fractions:
a. $23 / 4$
b. $1 \frac{1 / 2}{}$
c. $11^{1 / 10}$
d. $9 \%$

Maninder Singh
Maninder Singh
Numerade Educator
02:20

Problem 58

A pharmacist mixed $1 \mathrm{~g}$ of ingredient $\mathrm{A}, 1 / 2 \mathrm{~g}$ of ingredient $\mathrm{B}$, and $1 \frac{4}{5} \mathrm{~g}$ of ingredient $\mathrm{C}$. What is the total weight of this mixture?

Ian Maurer
Ian Maurer
Numerade Educator

Problem 59

If each tablet weighs $3 / 4 \mathrm{~g}$, what will be the total weight of 24 tablets?

Check back soon!
01:13

Problem 60

A container with some pills weighs 34 grams. If 80 pills, weighing $1 / 4 \mathrm{~g}$ each are removed from it, what will be the final weight of the container with the remaining pills?

Shalini Tyagi
Shalini Tyagi
Numerade Educator
02:20

Problem 61

A pharmacist mixed $1 \frac{1}{4} \mathrm{~g}$ of ingredient $\mathrm{A}, 2 / 3 \mathrm{~g}$ of ingredient $\mathrm{B}$ and $1 / 12 \mathrm{~g}$ of ingredient $\mathrm{C}$. If he weighs out $1 \frac{11 / 2}{} \mathrm{~g}$ of the mixture, how much of the mixture will be left?

Ian Maurer
Ian Maurer
Numerade Educator
00:59

Problem 62

A bottle contains $30 \mathrm{~mL}$ of syrup. If one dose is $1 / 2 \mathrm{~mL}$, how many doses can this bottle provide?

Amy Jiang
Amy Jiang
Numerade Educator
02:52

Problem 63

In a mixture, $1 / 2$ portion is ingredient $A, 1 / 3$ portion is ingredient $B, 1 / 12$ portion is ingredient $\mathrm{C}$ and the rest is ingredient $\mathrm{D}$, what will be the amount of ingredient $D$ if the total weight of the mixture is $2400 \mathrm{mg}$ ?

Heather Zimmers
Heather Zimmers
Numerade Educator
01:05

Problem 64

A medication order calls for 20 tablets, each containing $3 / 4$ grain of a certain medication. If 10 grains of this medication is available, how much extra medication is needed to fill this prescription?

Ma. Theresa Alin
Ma. Theresa Alin
Numerade Educator
00:19

Problem 65

How many capsules containing $1 / 2$ grain of medication can be prepared from $35 \frac{1}{2}$ grains of this medication powder?

Ronald Prasad
Ronald Prasad
Numerade Educator
00:59

Problem 67

A pharmacy technician accidentally dropped half the medication from a bottle that contained 20 teaspoonfuls of a pediatric cough syrup. How many $1 / 2$-teaspoonful doses are still left in the bottle?

Amy Jiang
Amy Jiang
Numerade Educator
02:42

Problem 68

What will be the total amount of medication in grains if 45 capsules, each containing $3 / 5$ grain, are dispensed?

Pronoy Sinha
Pronoy Sinha
Numerade Educator
01:35

Problem 69

How many $2 / 3 \mathrm{~g}$ tablets can be prepared from a stock of $66 \mathrm{~g}$ ?

Victor Salazar
Victor Salazar
Numerade Educator
00:19

Problem 70

If each capsule containing certain powder medication weighs $3 / 5$ grain, of which $1 / 3$ portion is the capsule shell, what will be the total weight of powder in 25 capsules?

Ronald Prasad
Ronald Prasad
Numerade Educator
01:28

Problem 71

When $11 \frac{1}{3} \mathrm{~g}$ of powder $\mathrm{A}, 25 \mathrm{~g}$ of powder $\mathrm{B}, 21 / 15 \mathrm{~g}$ of powder $\mathrm{C}$, and $32 / 5 \mathrm{~g}$ of powder $\mathrm{D}$ are mixed together, what will be the total weight of the mixture?

Ronald Prasad
Ronald Prasad
Numerade Educator
01:41

Problem 72

How many doses are contained in $55 \mathrm{~mL}$, if each dose is $5 \mathrm{~mL}$ ?

Anand Jangid
Anand Jangid
Numerade Educator
01:28

Problem 73

If a soft gelatin capsule contains $4 \frac{11 / 4}{} \mathrm{~mL}$ of cod liver oil, what will be the total dose if 20 such capsules are taken?

David Collins
David Collins
Numerade Educator
00:59

Problem 74

If 12 doses of $1 \frac{11 / 2}{} \mathrm{~mL}$ are taken from a bottle that contains $40 \mathrm{~mL}$, what will be the remaining quantity?

Amy Jiang
Amy Jiang
Numerade Educator
00:52

Problem 75

If there is only a $63 / 2 \mathrm{~mL}$ measuring cylinder available to fill a $105-\mathrm{mL}$ bottle, how many times will it be used to measure the desired amount of liquid?

Cory Kuzinski
Cory Kuzinski
Numerade Educator
01:01

Problem 76

What is the total volume of daily dose if the prescription says $2 \frac{1 / 2}{} \mathrm{~mL}$ of syrup A, 4 times per day?

WM
William Mead
Numerade Educator
01:41

Problem 77

A prescription calls for $1 \frac{1 / 2}{2}$ milliliters, 3 times a day for 2 weeks. How many such prescriptions can be filled from a stock of 2.52 liters?

Anand Jangid
Anand Jangid
Numerade Educator
00:31

Problem 78

What will be the total weight when $25^{3 / 4} \mathrm{~g}$ of ingredient $\mathrm{A}$ is mixed with $2 \frac{1 / 4}{} \mathrm{~g}$ of ingredient B?

Amy Jiang
Amy Jiang
Numerade Educator
01:49

Problem 79

If a multivitamin-syrup contains $1 / 2 \mathrm{mg}$ of riboflavin, $3 / 4 \mathrm{mg}$ of niacin, $3 / 5 \mathrm{mg}$ of pyridoxine and $1 / 6 \mathrm{mg}$ ascorbic acid, what is the total amount of vitamin in this preparation?

Dharmendra Jain
Dharmendra Jain
Numerade Educator
02:37

Problem 80

If a $6-\mathrm{mL}$ soft gelatin capsule contains $23 / 4 \mathrm{~mL}$ of vitamin $\mathrm{A}$ and the remaining volume is vitamin $\mathrm{D}$, what will be the total volume of vitamin $\mathrm{D}$ in 20 capsules?

Melissa Stefan
Melissa Stefan
Numerade Educator