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Watch First β€” Intro to Ratios - Khan Academy

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Ratios & Proportions

Why This Matters for Nursing: Medication mixing, IV drip rates, and staffing calculations all use ratios. "Mix 1 part medication to 3 parts saline" or "1 nurse for every 4 patients" are ratios you'll use daily.

What You Need to Know

A ratio compares two quantities. It can be written three ways: - 1 to 3 - 1:3 - 1/3

A proportion states that two ratios are EQUAL: - 1:3 = 2:6 (both simplify to the same ratio)


🧠 Memory Trick

Cross multiply to solve proportions!

If a/b = c/d, then a Γ— d = b Γ— c

Think of it as an "X" β€” multiply across the diagonal!

"Cross products are equal"


Setting Up Ratios

Order Matters!

"The ratio of nurses to patients is 1:4" means: - Nurses : Patients = 1 : 4 - Nurses comes first because it's mentioned first

If there are 3 nurses, there are 12 patients (3:12 = 1:4)


Solving Proportions

Method: Cross-Multiplication

Problem: If 2 tablets contain 500 mg, how many mg are in 5 tablets?

Setup:

2 tablets     5 tablets
--------- = -----------
500 mg          x mg

Cross-multiply: - 2 Γ— x = 500 Γ— 5 - 2x = 2500 - x = 1250

Answer: 1,250 mg

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