a/A Ratio Calculator

The a/A ratio compares arterial oxygen directly to alveolar oxygen as a ratio rather than a difference, and stays more stable than the A-a gradient when FiO₂ changes.

Calculate the a/A Ratio

%
21–100%, or as a fraction (0.21–1.00).
Enter a value between 21–100% or 0.21–1.00.
mmHg
760 at sea level; lower at altitude.
Enter a value between 250 and 800.
mmHg
From an ABG. Normal ~35–45.
Enter a value between 10 and 150.
mmHg
From an ABG.
Enter a value between 20 and 650.
a/A Ratio
0.90
ratio (PaO₂ ÷ PAO₂)
Normal gas exchange
PAO₂
99.7 mmHg
PaO₂
90.0 mmHg

How It's Calculated

Step 1 — Alveolar oxygen
PAO₂ = [FiO₂ × (Patm − 47)] − (PaCO₂ ÷ 0.8)
Step 2 — Ratio
a/A Ratio = PaO₂ ÷ PAO₂

What the Result Means

> 0.75

Normal — arterial oxygen is at least 75% of alveolar oxygen; gas exchange is working as expected.

0.50–0.75

Mildly reduced — some impairment of oxygen transfer.

0.25–0.50

Moderately reduced — significant gas-exchange impairment.

< 0.25

Severely reduced — major shunt or V/Q mismatch.

Worked Example

Given: PAO₂ 99.7 mmHg, PaO₂ 90 mmHg.

  1. a/A = 90 ÷ 99.7 = 0.90
  2. Above 0.75 — this is normal.

Arterial vs. Alveolar Oxygen

The a/A ratio is arterial oxygen expressed as a fraction of alveolar oxygen.

PAO₂ PaO₂ ÷ = a/A

Frequently Asked Questions

Why use the a/A ratio instead of the A-a gradient?

Because it remains valid across a wider range of FiO₂ without needing age correction — as a ratio, it doesn't swing as much when the oxygen setting changes, so it's better for tracking a patient over time.

What is a normal a/A ratio?

Greater than 0.75 — meaning arterial oxygen is at least 75% of the alveolar oxygen the lungs calculated they should have.

How is the alveolar oxygen (PAO₂) found?

From the alveolar gas equation, exactly as in step one of the A-a gradient: PAO₂ = [FiO₂ × (Patm − 47)] − (PaCO₂ ÷ 0.8).

Can the a/A ratio be above 1.0?

No. Arterial oxygen can't exceed alveolar oxygen, so a ratio above 1.0 signals a measurement or entry error in the FiO₂ or ABG values.

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