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Set 2 of 10 · Desired over have

Desired Over Have Formula Practice: Tablets and Oral Liquids

Desired over have, also called the formula method, is the most common way to work out an oral dose. You divide the dose prescribed (desired) by the dose in each tablet or measured volume (have), then multiply by that quantity. The practice questions on this page are free, with no sign-up.

FreeExact answer

Nurses use it for tablets, capsules and oral liquids whenever the dose prescribed is not the strength supplied.

Desired over have formula

Desired over have
(D ÷ H) × Q = amount to give
What the letters mean
D = dose prescribed, H = dose on hand, Q = quantity that holds H (1 tablet or a volume in mL)
Ratio and proportion (same answer)
H : Q = D : x, so x = (D × Q) ÷ H
  • Convert first. D and H must be in the same unit before you divide.
  • Scored tablets can be given to the nearest half tablet; unscored tablets and capsules only as whole units. Never split extended-release or enteric-coated forms.
  • Check that the answer makes sense. If it comes out as 10 tablets or 0.1 of a tablet, look for a unit or decimal error before you give anything.

Worked example: dosage calculation from mg to mL

Drug A 0.2 g PO is prescribed. The oral suspension on hand is labeled 150 mg per 5 mL. How many mL will the nurse give? Round to the nearest tenth.

  • Put D and H in the same unit: 0.2 g × 1,000 = 200 mg.
  • Set up the formula: (200 mg ÷ 150 mg) × 5 mL.
  • Solve without rounding the middle step: 1.3333 × 5 = 6.6667 mL.
  • Round once, at the end: a volume of 1 mL or more is rounded to the nearest tenth, so 6.7 mL.

Answer: 6.7 mL

Practice this set on the exam screen

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Answer key

Desired over have practice questions: answers and rationales

Try the questions first. Open one to read its answer and rationale.

Question 1A 37-year-old client at a public health clinic who takes isoniazid for tuberculosis is prescribed pyridoxine 50 mg PO daily. The pharmacy supplies pyridoxine 25 mg tablets. How many tablets will the nurse give? Round to the nearest whole number. Record your answer as a whole number.

Use desired over have: (D ÷ H) × Q. D, the dose prescribed, is 50 mg. H, the dose on hand, is 25 mg. Q, the quantity that holds H, is 1 tablet. D and H are already in mg, so no conversion is needed. (50 mg ÷ 25 mg) × 1 tablet = 2 tablets. Sense check: the prescribed dose is twice the tablet strength, so 2 tablets is reasonable. Pyridoxine (vitamin B6) 25 to 50 mg a day is given with isoniazid to prevent peripheral neuropathy, so the dose is in the expected range. Takeaway: confirm that D and H share a unit, divide the dose prescribed by the dose on hand, then multiply by the quantity.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; CDC: Treatment for Drug-Susceptible Tuberculosis Disease (pyridoxine 25 to 50 mg/day with isoniazid for persons at risk of neuropathy); NIH Office of Dietary Supplements, Dietary Supplement Label Database: vitamin B6 (pyridoxine hydrochloride) 25 mg tablet

Question 2An 81-year-old client receiving home health care for heart failure is prescribed furosemide 40 mg daily through a gastrostomy tube. The furosemide oral solution is labeled 10 mg/mL. How many mL will the nurse give? Round to the nearest tenth. Record your answer using 1 decimal place.

Use desired over have: (D ÷ H) × Q. D = 40 mg. H = 10 mg. Q = 1 mL, the volume that holds 10 mg. Both doses are in mg, so no conversion is needed. (40 mg ÷ 10 mg) × 1 mL = 4 mL. The answer is written as 4 mL, never 4.0 mL, because a trailing zero can be misread as 40 mL. Sense check: each mL holds 10 mg, so 40 mg needs 4 of them. The usual first dose of oral furosemide for edema is 20 to 80 mg as a single dose, so 40 mg is a reasonable prescription. Takeaway: for a liquid, Q is the volume that contains the dose on hand; here it is 1 mL.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; Open RN Nursing Skills (ACC adaptation), 5.5 Rounding; ISMP List of Error-Prone Abbreviations, Symbols, and Dose Designations; DailyMed: Furosemide tablets label (edema in adults: usual first dose 20 to 80 mg as a single dose); DailyMed: Furosemide Oral Solution, USP label (10 mg/mL strength)

Question 3An 83-year-old client in a skilled nursing facility is prescribed digoxin 0.125 mg PO daily. The only tablets on hand are scored and labeled 250 mcg. How many tablets will the nurse give? Round to the nearest half tablet. Record your answer using 1 decimal place.

D and H must be in the same unit before dividing. Step 1: convert the prescription. 0.125 mg × 1,000 mcg/mg = 125 mcg. Step 2: desired over have. (125 mcg ÷ 250 mcg) × 1 tablet = 0.5 tablet. The tablets are scored, so a half tablet can be given. The answer is written with a leading zero: 0.5 tablet. Dividing without converting (0.125 ÷ 250) gives 0.0005 tablet, a result so small that it signals a unit mismatch. Before giving digoxin, the nurse counts the apical pulse for a full minute. Takeaway: convert first; an answer far below half a tablet or above a few tablets usually means the units do not match.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; Open RN Nursing Skills (ACC adaptation), 5.4 Equivalencies; DailyMed: Digoxin tablets label (maintenance dose in mcg/kg/day, scored 125 mcg and 250 mcg tablets); Open RN Nursing Pharmacology 2e, 6.7 Cardiac Glycosides (apical pulse before digoxin)

Question 4A 72-year-old client on a medical unit who cannot swallow capsules is prescribed cephalexin 0.5 g PO every 12 hours for a skin infection. The pharmacy supplies an oral suspension labeled 250 mg per 5 mL. How many mL will the nurse give for each dose? Round to the nearest tenth. Record your answer using 1 decimal place.

Step 1: put D and H in the same unit. 0.5 g × 1,000 mg/g = 500 mg. Step 2: identify the parts. D = 500 mg, H = 250 mg, Q = 5 mL. Step 3: (500 mg ÷ 250 mg) × 5 mL = 2 × 5 mL = 10 mL. Two common errors: leaving the dose in grams, (0.5 ÷ 250) × 5 = 0.01 mL, and forgetting to multiply by Q, which gives 2 mL. Either would be a serious underdose. Sense check: the dose is double the 250 mg in each 5 mL, so the volume is double 5 mL. Takeaway: convert grams to milligrams first, and remember that Q here is 5 mL, not 1 mL.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; Open RN Nursing Skills (ACC adaptation), 5.4 Equivalencies; DailyMed: Cephalexin for oral suspension label, section 2.1 (adult dose of 500 mg every 12 hours; 250 mg per 5 mL)

Question 5A 66-year-old client on a medical unit with hypokalemia is prescribed potassium chloride 60 mEq/day PO in 3 equally divided doses with meals. The pharmacy sends a 473 mL bottle of oral solution labeled 40 mEq per 15 mL. How many mL will the nurse give for each dose? Round to the nearest tenth. Record your answer using 1 decimal place.

The prescription is a daily total, so find the single dose first. Step 1: 60 mEq/day ÷ 3 doses = 20 mEq per dose. Step 2: desired over have, with D = 20 mEq, H = 40 mEq and Q = 15 mL. (20 mEq ÷ 40 mEq) × 15 mL = 7.5 mL. The 473 mL is only the size of the bottle and is not used. Using the daily total as D gives 22.5 mL, which is 3 doses at once. mEq is not converted to mg; calculate with the unit on the label. The oral solution is never given undiluted: the nurse mixes each dose with at least 4 ounces (120 mL) of cold water and gives it with meals to limit stomach irritation. Takeaway: check whether the prescription is per day or per dose, and ignore numbers, such as the bottle size, that the formula does not need.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; DailyMed: Potassium chloride oral solution label (20% solution, 40 mEq per 15 mL, 473 mL bottle; 40 to 100 mEq/day in 2 to 5 divided doses, no more than 40 mEq per dose; dilute each dose in at least 4 ounces of cold water and give with meals)

FAQ

Desired over have formula: FAQ

What is the basic formula for medication calculation?
Desired over have: (D ÷ H) × Q = the amount to give. D is the dose prescribed, H is the dose on hand and Q is the quantity that holds H, such as 1 tablet or a volume in mL. D and H must be in the same unit before you divide.
What are the different ways to calculate medication doses?
Desired over have (the formula method), ratio and proportion, and dimensional analysis. Ratio and proportion sets up H : Q = D : x and solves x = (D × Q) ÷ H. Dimensional analysis multiplies conversion factors so the units you don't want cancel. Set up correctly, all three give the same answer.
Can you provide some examples of drug calculation questions with answers?
Yes. Drug A 0.2 g PO is prescribed, and the suspension on hand is labeled 150 mg per 5 mL. Convert 0.2 g to 200 mg, then (200 mg ÷ 150 mg) × 5 mL = 6.67 mL, rounded to 6.7 mL. Each practice question on this page also comes with a worked answer.

Sources: StatPearls: Dose Calculation Desired Over Have Formula Method; StatPearls: Dose Calculation Ratio and Proportion Method; StatPearls: Dose Calculation Dimensional Analysis Factor-Label Method; Open RN Nursing Skills (ACC adaptation), 5.5 Rounding