Pharmacy Technician Math

This page is on Pharmacy Technician Math.

When you are working in a pharmacy there are some basic math calculations that you will use every day.

It's important to have a solid understanding of these calculations, to ensure that you can accurately translate the amount of medication that is prescribed into a usable form for the patient.

The most common calculation will happen when the amount of medication prescribed does not exactly match an amount in a dosage form.

For example, if a prescription calls for the patient to take 3 grams of medication daily. The only pills you have available are 500 milligram capsules.

To convert the prescribed dosage to milligrams, multiply grams by 1000. This means the prescription calls for 3000 milligrams daily, or six 500 milligram capsules.

The key to being able to do these pharmacy technician math calculations quickly is in being able to understand the important information that is on the prescription.

Information for tablets and capsules lists the amount or dosage of medication per unit, liquid medications are listed in medication per volume of liquid, and injectable solutions are listed as medication per volume injected. Side note: to learn more about the differences between tablets, capsules, liquid medications, and injectable solutions, see Pharmacy Dosage Forms.

The prescription will list a total amount of medication. So just like in the example above, the first step is to convert the amounts of medication to the same unit of measurement.

Milligrams to grams or vice verse will be the most common conversion. And it's easy to remember that 1 gram is equal to 1000 milligrams.

The most common systems of measurement you'll encounter will be Metric, American Standard, and the apothecaries' system.

It can also help to carry a pocket reference guide that has conversion information listed. This will make it easy to ensure you know the correct conversion to use.

It's also important to understand how to work with Fractions and Decimals.

Not every dosage conversion will work out easily with whole numbers, so it's good to be comfortable working with fractions and decimals.

To convert between the two forms, simply use a calculator to divide the top number by the bottom number. Five-eighths for example, you would enter 5 divided by 8. This returns .625, which is the correct decimal form for five-eighths.

Ratios and concentrations will also be an important part of the daily math used in a pharmacy.

For example, if a solution is 20% medication by volume, you need to understand how much medication is delivered in a 50 milliliter injection. In this case, 20% of 50 is 10, so the amount of medication in that dose would be 10 milliliters.

The last main use of math in the pharmacy is to calculate days supply. Days supply refers to the number of days the physician wants the patient to take the medication.

A common default is a 30 day supply. This means you need to ensure they have enough individual daily doses to last for 30 days total. If they need to take four tablets every day, then the 30 day supply would be 120 tablets total.

Didn't find what you were looking for? Use the box below to search this entire site.

Custom Search

Pharmacy Tech Math Questions

Do you have a pharmacy math question? Ask your question below...

[ ? ]

Upload 1-4 Pictures or Graphics (optional)[ ? ]

 

Click here to upload more images (optional)

Author Information (optional)

To receive credit as the author, enter your information below.

(first or full name)

(e.g., City, State, Country)

Submit Your Contribution

 submission guidelines.


(You can preview and edit on the next page)

What Other Visitors Have Said

Click below to see contributions from other visitors to this page...

How many milligrams of sodium chloride are in a 250ml bag of 0.9% NaCl? 
How many mg of sodium chloride are contained in a 250ml bag of 0.9% NaCl?

Cefazolin Dilution Pharmacy Math Question 
Prepare 15 mL of a 50 mg/mL cefazolin dilution from a stock of 1 g/5 mL. How many milliliters of diluent and stock solution will be needed? I am having …

Calculating daily maintenance fluids for pediatrics 
I am stuck on the 100/50/20 procedure. Can you walk me through these to see how my book got its answers? 1. Total volume and hourly IV flow rate for …

Calculating IV drug infusion using Volume ctrl set (pediatric) 
I can't seem to figure out how much IV fluid (mL) to add to the chamber. Ordered: D5 0.33% NaCl IV at 66 mL/hr with Fortaz 720 mg IV q8h to be infused …

Calculating Adjusted Body Weight in Elderly Female Patients 
What is the adjusted body weight in kg for a 67 yr female weighs 292 lb and 5'8" tall? I went by the formula they had in the book but I'm not coming …

Alligations: A Question about 1/3 Normal Saline Solution and Sterile Water for Injection 
A liter of 1/3 NS is to be prepared from 23.4% concentrated sodium chloride solution and sterile water for injection. How many milliliters of each are …

How many grams of Antipyrine should be used in this Pharmacy Math Problem? 
Rx: Antipyrine 5% Glycerin ad 60 ml Sig: gtt v in right ear tid How many grams of antipyrine should be used in preparing the prescription?

IV Compounding Math Question: How is a Tic Tac Toe Board Used In This Example? 
An order for 6 liters of 0.9% soium chloride solution is to be prepared from 23.4% concentrated NaCl solution and sterile water for injection.How many …

Victoza Quantity for 90 Days? 
IF I AM DISPENSING 0.8ML OF VICTOZA DAILY. WHAT IS QUANTITY FOR 90 DAYS

Volume/Volume Compounding - Solution Alligation Question 
Prepare 480mL of a 1:30 solution using a 1:10 solution and a 1:50 solution. How many mL of each solution is needed?

Amoxicillin Question: 500mg every 8 hours for 7 days as directed 
Rx order: amoxicillin 500mg po q8h for 7days ug ad Supply: amoxicillin 250mg/5ml-100ml bot for 4 bots How many of the mls will the patient receive …

Alligation Question: 1.5L of 20% KCL to How Much of a 15% KCL Solution? 
A physician wants 1.5L of kcl 15% from a stock solution that is 20% kcl. How many ml of stock solution is needed?

Question about 2% Silver Nitrate Ointment and Active Ingredient 
How many grams of 2% silver nitrate ointment will deliver one gram of the active ingredient?

Help 
What is the day supply for Amoxicillin 125mg/5 ml (100ml) SIG: ss tsp TID?

PHARMACY TECHNICIAN 
ORDER:TETRACYCLINE ELIXIR QID FOR A CHILD WEIGHING 50LB AT A DOSAGE OF 8MG/KG/DAY IN EQUALLY DIVIDED DOSES. HOW MANY MG WOULD ONE DOSE CONTAIN? TETRACYCLINE …

pharmacy technician  
A prescription for 120 XML of. formaldehyde 8% with rose. The pharmacy has formaldehyde 37% and formaldehyde 4% with rose. How much of each ingredient …

pharmacy tech student 
A prescription for Atenolol 15mg/ml oral liquid in cherry syrup 120ml. How many 100mg tablets are needed to prepare this compound?

how many caps 
How many capsules will it take to completely fill the following prescription with the given regimen: Cephalexin 1PO tid*14days?

How Much Math Is REALLY used by a Pharmacy Tech? 
I think in words and letters; not in numbers. Please forgive this cautious fool for asking repetitive questions I am sure you have been asked before. So …

aligations 
what ratio of 25% Dextrose and 10% dextrose should be mixed to make a 20% dextrose solution?

can you solve this 
the directions on a prescription read " 1 tbsp QID,as and hs." The quantity to be dispensed for a 30 day supply is...

Coumadin 7.5mg: What is the Dosage with Coumadin 5mg Tablets? 
I have an order for Coumadin 7.5 mg po qd and I have a supply of Coumadin 5mg tablets. What is the dosage?? Answer: The dosage is 1 & 1/2 of the …

How to Understand Pharmacy Math Calculations? 
What is a way to really understand math calculations for someone who struggles with it?

Antibiotic IV Compounding Math Questions  Not rated yet
A pharmacist dilutes a vial containing 1g of antibiotic with 10 ml of water. The solution is then added to 100 ml of D5W. What is the concentration, in …

Click here to write your own.

How Do We KNOW Not rated yet
How do we know which formula to use, Like for this problem; How many 500mg metronidazole tablets will be needed to compound the following : metronidzole …

Daily Maintenance fluid needs for pediatrics (Holiday-Segar method- long version) Not rated yet
Calculate the total volume and hourly IV flow rate for a 3500 g infant receiving maintenance fluids.Infuse __________mL at ____mL/hr. I've converted …

A Question on Ratio Concentration of a Solution Not rated yet
A solution contains 10mg of drug in 5ml of solution. How would you express this as a ratio concentration? Answer: In ratio concentrations, the …

Pharmacy Math Question about 10% w/v Dextrose Solution Not rated yet
How many gram of Dextrose are contained in 30ml of a 10% w/v Dextrose solution?

pharmacy math Not rated yet
How many g of potassium permanganate is needed to prepare 240 ml of a solution so that 15 ml diluted to 480 ml makes a 1:2000 solution?

pharmacy math Not rated yet
How many g of potassium permanganate is needed to prepare 240 ml of a solution so that 15 ml diluted to 480 ml makes a 1:2000 solution?

How much dextrose would be in 100 ml of water of D50W? Not rated yet
D5W is 5% dextrose in water NS is normal saline which is 0.9% sodium chloride in water These are just two of the types of IVs you may get when you …

IV Compounding Question: Minibag of 1000mg Aztreonam in 100ml D5W... Not rated yet
You are asked to prepare a minibag with 1000mg of aztreonam in 100 mL of D5W. By mistake, you add 1500 mg to the bag. How many mls will you remove from …

apothecaries Not rated yet
Prepare 15 mL of a 50 mg/mL cefazolin dilution from a stock of 1 g/5 mL. How many milliliters of diluent and stock solution will be needed?

How Many Bottles of Cleocin Reconstitutable Suspension Should be Dispensed? Not rated yet
Cleocin suspension, 150 mg tid for ten days. This suspension is only available in a concentration of 75mg/5ml, and the only available quantity is 100 ml …

days supply and quantity???? Not rated yet
I have a test tomorrow for a data entry tech but im getting confused with it because everyone asks how i got my answer or why i did my calculations this …

help Not rated yet
Dr. orders Lasix 20mg. On the shelf, the tech has 10mg tablets. How many will you give for a single dose? Answer: You would give 2 - 10mg tablets for …

Pharmacy Technician Student Not rated yet
Atrovent Inhalation Solution 0.02% 2.5ml x 25 vials dispense 10 boxes 1 vial q.i.d 2 refills _______qty ________refills ______________partial …

Tech in training  Not rated yet
A physician orders 125 mg/5 ml Dilantin suspension to replace an order reading, Dilantin 100 mg, dispense #33. Sig 1 tid. What quantity of suspension should …

student Not rated yet
You have 2 fluid ounces of a medication with with a concentration of 0.25g/fluidgram. How many milligrams do you have?

Calculation Not rated yet
I'm trying to calculate the retail price. awp/30 $125.15 Only need 8. Answer: Divide $125.15 by 30 to get the price per pill ($4.18 rounding up), then …

compounding Not rated yet
A prescription for 120 mL of Formaldehyde 8% with rose is brought into the pharmacy. The pharmacy has on hand Formaldehyde 37% and Formaldehyde 4% with …

calculation for days supply Not rated yet
prescription take 1 tablet 3 times a day, how do I calculate the maximum quanity allowed if the 3rd party plan has a 21 day dispensing limitation ? …

Pharmacy techinician in training Not rated yet
Philip's total daily dose of iron dextran became 1g, mixed in a 1L bag of NS and infused over 8 hours what was the rate per hour? How much iron dextran …

powder concentration Not rated yet
I am asked to dilute a vial of powder- c to 330mg/ml concentration. The patient needs a 600mg dose.

Mixing a solution Not rated yet
COuld you help with this: Make a 10% NS soulution 1L. You have 5% and 50% NS bags only. How much of each solution will it take to make a 10$ NS 1-L …

Student Not rated yet
1. Mr. Bob. receives Pravachol 40 mg po daily to lower his cholesterol level. How many doses would be dispensed for a 90 day supply? 2. The intern …

math question Not rated yet
A pharmacist asks you to compound 1 Liter of Dextrose 30%. You have on hand Dextrose 70%, and Dextrose 5%. How many ml of each must be used to compound …

student Not rated yet
how many grams of 2% silver nitrate ointment will deliver 1g of the active ingredient?

pharmacy question Not rated yet
They give penicillin G potassium 250,000 U/kg/day up to 20,000 U patient weighs 160lbs iv administered over 24hr 20000000 U/L and the question …

Click here to write your own.



Top of Pharmacy Technician Math

Back to Home

New! Comments

Have your say about what you just read! Leave me a comment in the box below.
[?]Subscribe To This Site
  • XML RSS
  • follow us in feedly
  • Add to My Yahoo!
  • Add to My MSN
  • Subscribe with Bloglines

Recent Articles

  1. Unofficial PTCB Practice Test

    Sep 26, 15 09:31 PM

    Unofficial PTCB Practice Test and Answer Key - Use this FREE practice test to give you an idea of the type of questions on the test.

    Read More

  2. Pharmacy Abbreviations

    Sep 12, 15 09:45 PM

    Pharmacy Abbreviations - More than you ever wanted to know about Pharmacy Abbreviations and where they come from!

    Read More

  3. Dispense As Written Codes Explained

    Sep 12, 15 09:35 PM

    The topic of this page is Dispense As Written Codes. What are they? And why are they important?

    Read More


Links on this Page:


What is a Prescription?


Pharmacy Dosage Forms


The Metric System


American Standard System


Apothecaries System of Measurement in Pharmacy


Understanding Fractions for Pharmacy Technicians


Understanding Decimals in Pharmacy Calculations


Figuring Days Supply on Prescriptions